Question

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

Answer 1

Answer:

5.9

Step-by-step 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

$16 + 16 = {c}^{2}$

$32 = {c}^{2}$

$\sqrt{32}$

which is about 5.9