Question

Date Page A= 80m2 10-2 The Area Psosceles oight oright angle the length of its hypotesus is ​

Answer 1

Answer:

Question

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An isosceles right triangle has area 8 cm

2

. The length of its hypotenuse is

Easy

Solution

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Correct option is

A

32

cm

Explanation:

Let height of triangle = h

As the triangle is isosceles,

Let base = height =h

According to the question, Area of triangle = 8cm

2

⟹

2

1

×Base×Height=8

⟹

2

1

×h×h=8

⟹h

2

=16

⟹h=4cm

Base = Height = 4cm

Since the triangle is right angled,

Hypotenuse

2

=Base

2

+Height

2

⟹Hypotenuse

2

=4

2

+4

2

⟹Hypotenuse

2

=32

⟹Hypotenuse=

32