Question

Instructions: Find the lengths of the other two sides of the isosceles right triangle below.

Answer 1

Given:

The ratio of 45-45-90 triangle is $x:x:x\sqrt{2}$.

The hypotenuse of the given isosceles right triangle is $7\sqrt{2}$.

To find:

The lengths of the other two sides of the given isosceles right triangle.

Solution:

Let $l$ be the lengths of the other two sides of the given isosceles right triangle.

From the given information if is clear that he ratio of equal side and hypotenuse is $x:x\sqrt{2}$. So,

$\dfrac{x}{x\sqrt{2}}=\dfrac{l}{7\sqrt{2}}$

$\dfrac{1}{\sqrt{2}}=\dfrac{l}{7\sqrt{2}}$

$\dfrac{7\sqrt{2}}{\sqrt{2}}=l$

$7=l$

Therefore, the lengths of the other two sides of the given isosceles right triangle are 7 units.