Question

An isoscels right triangle has area of 8 square units . The length of its hypoteneuse is

Answer 1

Step-by-step explanation:

given:

An isoscels right triangle has area of 8 square units . The length of its hypoteneuse is

to find :

The length of its hypoteneuse is

solution :

• perpendicular and base are equal in length.

• Area of triangle = 1/2 x bxh

• Let b = h = y

• 1/2 xyxy = 8

• y² = 16

• y= 4

• perpendicular = base = 4 cm

• Pythagoras theorem

• 4² +4² √ 16+ 16 = √32 = 4√2 cm

• hypotenuse = 4√2 cm