Math, asked by bhunjehiren, 10 months ago

an isoceles right triangle has area 8 cm square whats the length of the hypoteneuse

Answers

Answered by vikashprasadnitrkl
2

Answer: The length of the hypotenuse is 4✓2 cm

Step-by-step explanation:

Given: it is a isoceles right triangle.

So,. AB=BC

By using Pythagoras theorem:

AC² = AB² + BC²

AC² = AB² + AB²

AC² = 2AB²

AB² = AC²/2

Area of triangle = 1/2 ×AB×BC

8 = 1/2×AB²

8 = 1/2×AC²/2

8 = AC²/4

AC² = 32

AC=√32

AC=4√2

Therefore length of hypotenuse = 4√2 cm

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