# Math

How would you solve for X if X was the hypotenuse of a 45-45-90 triangle and the other two sides were Square Root of 11?

1. 👍 0
2. 👎 0
3. 👁 97
1. Use Pythagoras theorem:

hypotenuse² = side1²+side2²l
=(√11)²+(√11)²
= 11 + 11
= 22
Therefore
hypotenuse = √22

1. 👍 0
2. 👎 0
2. Thank you very much! I thought it was 2 Square Roots of 11. You saved me.

1. 👍 0
2. 👎 0
3. The method I have shown above is more general, and applies to any right-triangle.

For a 45-45-90 triangle, you were close with the answer. A short-cut would be to multiply each side by √2, which makes:
√2 * √11
=√22.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

Each triangle is a 30-60-90 triangle, and the hypotenuse of one triangle is the longer leg of an adjacent triangle. The hypotenuse of the largest triangle is 8 centimeters. What is the number of centimeters in the length of the

asked by Jerry on December 29, 2015
2. ### Math

Jeremy loves right triangles that have side length 1. In fact, he loves to combine them so that the hypotenuse of one becomes the leg of the next. If the longer leg of the first triangle is sqrt 11, what will be the hypotenuse of

asked by D on November 14, 2016

Point N is on hypotenuse BC of triangle ABC such than angle CAN is 45 degrees. If AC=8 and AB=6, find AN. I did Pythagorean Theorem for triangle ABC, and hypotenuse BC will be 10. I don't know how to continue from there. Oh, I'm

asked by My Name Is Bob on April 9, 2012
4. ### Algebra

Which statement about a right triangle is NOT true? A.) The hypotenuse is the longest side of the triangle. B.) The square of the hypotenuse is equal to the sum of the squares of the other two lengths. C.) The sum of the length of

asked by Elizabeth on February 10, 2020
5. ### Geometry

Which statement is true? A. The altitude drawn to the leg of a right triangle forms two triangles that are similar to each other and to the given triangle. B. The altitude drawn to the hypotenuse of a right triangle forms two

asked by Superman on June 30, 2010
1. ### Math PLZZ

1. Which set of numbers represents a Pythagorean triple? 6, 9, 12 7, 10, 12 16, 18, 25 27, 36, 45* 2. If the lengths of the legs in a right triangle are 7 and 8, what is the approximate length of the hypotenuse? 1.4 3.8 5.4* 10.6

asked by YOLO on October 21, 2015
2. ### Geometry

Please check my answers 1. A triangle has side lengths of 34 in, 20 in, and 47 in. Is the triangle acute, obtuse or right? a. Right b. Obtuse* c. Acute 2. Quilt squares are cut on the diagonal to form triangular quilt pieces. The

asked by Annoymous on November 18, 2016
3. ### Math

The hypotenuse of a right triangle is 23 cm long. Find possible measures for the legs of the triangle. Round to the nearest hundredth. Justify your answer

asked by Anonymous on October 29, 2015
4. ### Calculus

A fence is 1.5m high and is 1m from a wall. A ladder must start from the ground, touch the top of the fence, and rest somewhere on the wall. Calculate the minimun lenght of the ladder. I drew a diagram and i ended up with a right

asked by lala on April 10, 2010
5. ### Geometry

The altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. What is the length of the altitude?

asked by Myles on February 21, 2012
6. ### algebra

Please show solution to this problem. In triangle A, the longer leg is 6 more than the shorter leg and the hypotenuse is 6 more than the longer leg. Find the lengths of each side of this right triangle. Show all calculations.

asked by Anneliese on January 23, 2017