Question

the area of a right-angled triangle isosceles triangle is 32 cm².find its perimeter
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Answer 1

Answer:

Step-by-step explanation:

An isosceles right triangle has area 32 CM 

Let the length of each sides of isosceles triangle be x (cm)

Area of triangle = 1/2 base x altitude

Area = 32cm² (given)

∴ , 32 = 1/2 x²

x² = 64 

x = 8

length of base and height = 8

now, length of hypotenuse = √ (base)² + (altitude)²

        length of hypotenuse = √ (8)²  + (8)²

        length of hypotenuse = √ 64 + 64

                                          = √128 = 6√2 cm

Answer 2

Answer:

Let equal sides be = x

Area = 1/2 × b × h

32 = 1/2 × x × x

x = 8 cm

Hypotenuse = _/2(8^2)

Hypotenuse = 8_/2 cm

Perimeter = 16 + 8_/2 cm

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