**Asked by:**Jose Feest

**Updated:**31 December 2019 08:58:00 PM

# How to find the missing length of a right triangle?

Key Points

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## Taking this into account how do you find the missing side of a right triangle?

How to find the sides of a right triangle

- if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)
- if leg b is unknown, then. b = √(c² - a²)
- for hypotenuse c missing, the formula is. c = √(a² + b²)

## Given this, how do you find the length of one side of a triangle?

Key Takeaways

- The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , is used to find the length of any side of a right triangle.
- In a right triangle, one of the angles has a value of 90 degrees.
- The longest side of a right triangle is called the hypotenuse, and it is the side that is opposite the 90 degree angle.

## With allowance for this, how do you find the length of a triangle given two sides and an angle?

"SAS" is when we know two sides and the angle between them. use The Law of Cosines to calculate the unknown side, then use The Law of Sines to find the smaller of the other two angles, and then use the three angles add to 180° to find the last angle.## Do you have your own answer or clarification?

### Related questions and answers

#### What are the side lengths of a 30 60 90?

A 30-60-90 triangle is a special right triangle whose angles are 30º, 60º, and 90º. The triangle is special because its side lengths are always in the ratio of 1: √3:2. Any triangle of the form 30-60-90 can be solved without applying long-step methods such as the Pythagorean Theorem and trigonometric functions.

#### Does 20 21 and 29 make a right triangle?

. The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61).

#### Are all isosceles triangles 30-60-90?

This is an isosceles right triangle. The other triangle is named a 30-60-90 triangle, where the angles in the triangle are 30 degrees, 60 degrees, and 90 degrees.

45-45-90 and 30-60-90 Triangles.

45-45-90 and 30-60-90 Triangles.

Hypotenuse Length | Leg Length |
---|---|

1.4142 | 1 |

#### What is the 30 60 90 Triangle rule?

Tips for Remembering the 30-60-90 Rules

Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

#### What are the rules for a 45 45 90 Triangle?

45°-45°-90° Triangles

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

#### Are all right triangles isosceles?

No, not all right triangles are isosceles. Although it is possible to have a right triangle that is an isosceles triangle, not all right triangles

#### How do you find the length of a 45 degree angle?

Using the pythagorean theorem – As a right angle triangle, the length of the sides of a 45 45 90 triangle can easily be solved using the pythagorean theorem. Recall the pythagorean theorem formula: a 2 + b 2 = c 2 a^2+b^2=c^2 a2+b2=c2.

#### Does 5 12 and 13 form a right triangle?

Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right

#### How do you find the hypotenuse of a 45 45 90 Triangle calculator?

The hypotenuse c is equal to the square root of leg a squared plus leg b squared. Note that in a 45 45 90 triangle legs a and b are the same length. The hypotenuse c is equal to leg a times the square root of 2.

#### What are the side lengths of a 45 45 90 Triangle?

A 45°-45°-90° triangle is a special right triangle that has two 45-degree angles and one 90-degree angle. The side lengths of this triangle are in the ratio of; Side 1: Side 2: Hypotenuse = n: n: n√2 = 1:1: √2. The 45°-45°-90° right triangle is half of a square.

#### Which is a true statement about a 45-45-90 Triangle?

In a 45-45-90 triangle, the hypotenuse is times as long as one of the legs.

#### What are the ratios for a 45 45 90 Triangle?

Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2).

#### How do you find the length of the third side of a right triangle?

Hypotenuse calculator

The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras' theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras' theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .

#### How do you find the length of an angle?

In any right angled triangle, for any angle:

- The sine of the angle = the length of the opposite side. the length of the hypotenuse.
- The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
- The tangent of the angle = the length of the opposite side. the length of the adjacent side.

#### Does 9 12 and 15 make a right triangle?

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

#### How do you find the side length of a 30 60 90 Triangle?

Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg. Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side.

#### How do you find the area of a 45-45-90 Triangle?

Correct answer:

To find the area of a triangle, multiply the base by the height, then divide by 2. Since the short legs of an isosceles triangle are the same length, we need to know only one to know the other. Since, a short side serves as the base of the triangle, the other short side tells us the height.

To find the area of a triangle, multiply the base by the height, then divide by 2. Since the short legs of an isosceles triangle are the same length, we need to know only one to know the other. Since, a short side serves as the base of the triangle, the other short side tells us the height.

#### How do you find the length of an isosceles right triangle?

In an isosceles right triangle, the equal sides make the right angle. They have the ratio of equality, 1 : 1. To find the ratio number of the hypotenuse h, we have, according to the Pythagorean theorem, h

^{2}= 1^{2}+ 1^{2}= 2.#### Does 4 5 6 make right triangles?

The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).

#### Does 3 4 5 make right triangles?

Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples. There are an infinite number of them, and this is just the smallest. See pythagorean triples for more information.