An isosceles right triangle has area 8 sq cm. The length of its hypote

1.	An isosceles right triangle has area 8 sq cm. The length of its hypotenuse is
Answer» Answer: √32 cm Step-by-step explanation: We Know That, area of TRIANGLE=(1/2)×base×height Base and Height are equal in a ISOCELES right angle triangle. So,LET the base be 'x' cm Now,the FORMULA becomes Ar of triangle=(1/2)×x² 8=(1/2)x² 8×2=x² 16=x² x²=√16 Therefore, x=4 cm Now, We know that, Hypotenuse=√(side1²+side2²) Hypotenuse=√(4²+4²) Hypotenuse=√(16+16) Hypotenuse=√32 cm Hope you UNDERSTAND

An isosceles right triangle has area 8 sq cm. The length of its hypotenuse is

Answer»

Answer:

√32 cm

Step-by-step explanation:

We Know That,

area of TRIANGLE=(1/2)×base×height

Base and Height are equal in a ISOCELES right angle triangle.

So,LET the base be 'x' cm

Now,the FORMULA becomes

Ar of triangle=(1/2)×x²

8=(1/2)x²

8×2=x²

16=x²

x²=√16

Therefore, x=4 cm

Now,

We know that,

Hypotenuse=√(side1²+side2²)

Hypotenuse=√(4²+4²)

Hypotenuse=√(16+16)

Hypotenuse=√32 cm