Question

An isosceles right triangle has an area 8 cm square find the length of its hypotenuse​

please answer me fast

Answer 1

5.9

Explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

`{a}^(2) + {b}^(2) = {c}^(2)`

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

`{4}^(2) + {4}^(2) = {c}^(2)`

which simplify to

`16 + 16 = {c}^(2)`

`32 = {c}^(2)`

`√(32)`

which is about 5.9