Question

find length of hypotenuse of an isosceles right angled triangle has area 200 CM square

Answer 1

Given that it is an isosceles right angle triangle

⇒ the base and the height is equal

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STEP 1: Find the base and height

Let x be the base

height = base = x

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area = 1/2 x base x height

200 = 1/2 x²

x² = 400

x = 20

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STEP 2: Find the hypotenuse:

a² + b² = c²

20² + 20² = c²

c² = 400 + 400

c² = 800

c = √800

c = 20√2

c = 28.28

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Answer: The length of the hypotenuse is 28.28 cm

Answer 2

Answer:

20√2cm

Step-by-step explanation:

Area of an isosceles right angled triangle

$= \frac{1}{2} (side) \: = 200 {cm}^{2} \\ side \: = 20cm \: \\ hypotenuse \: = \sqrt{ {a}^{2} } + {a}^{2} = \sqrt{20} = 20 \sqrt{2cm}$

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