Sage-Tips

How do you find the length of a 45 45 90 Triangle?

45 45 90 triangle sides The legs of such a triangle are equal, the hypotenuse is calculated immediately from the equation c = a√2 . If the hypotenuse value is given, the side length will be equal to a = c√2/2 .

What are the side lengths of a 45 45 90 triangle if the hypotenuse is 6?

1 Expert Answer This is a right triangle (hence the 90° angle), so you’d find the legs (both are the same length of a right triangle) by using Pythagoras Theorem (a2 + b2 = c2) Since you have the hypotenuse (6″), just go backwards. 62 = 36 = a2 + b2.

What are the legs of a 45 45 90 triangle if the hypotenuse is 7?

The two legs of a 45 45 90 are the same, and two times the square root two gives us the length of the hypotenuse. If we know this leg is 7 then the other leg is 7 because it is isosceles and the ratio says I just multiple this 7 times the square root of 2 to get the hypotenuse.

How do you find the side of a hypotenuse?

If you have the hypotenuse, multiply it by sin(θ) to get the length of the side opposite to the angle. Alternatively, multiply the hypotenuse by cos(θ) to get the side adjacent to the angle.

How do you find the length of the hypotenuse of a 45 45 90 Triangle multiply the length of one of the legs by?

To calculate the length of hypotenuse when given the length of one side, multiply the given length by √2. When given the length of the hypotenuse of a 45°-45°-90° triangle, you can calculate the side lengths by simply dividing the hypotenuse by √2.

Have been given a hypotenuse in this 45 45 90 Triangle How do I find the length of a leg of the triangle?

In this 45-45-90 triangle, I have been given the length of a leg. How do I find the length of the hypotenuse? It is the same length as the given leg. Multiply that leg’s length by √2.

What is the hypotenuse of a 45-45-90 triangle?

A 45-45-90 triangle has a hypotenuse of length 7. What is the length of one of its legs? In a 45 −45 − 90 triangle the two shorter sides are equal since it is also an isosceles triangle. Using Pythagoras’ theorem

What is the length of each leg of a 45-45-90 triangle?

In a 45 −45 − 90 triangle the two shorter sides are equal since it is also an isosceles triangle. Using Pythagoras’ theorem Length of each leg a = 7 √2 = 4.95

How to find the length of the hypotenuse of the right triangle?

Find the length of the hypotenuse of the right triangle. 45/45/90 triangles are always isosceles. This means that two of the legs of the triangle are congruent. In the figure, it’s indicates which two sides are congruent. From here, we can find the length of the hypotenuse through the Pythagorean Theorem.

What is a 45°-45°-90° triangle?

What is 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.