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An isosceles right-angled triangle has two equal sides of length 12 cm each. Find itsarea.
Question

An isosceles right-angled triangle has two equal sides of length 12 cm each. Find itsarea.

A.

72 cm2

B.

48 cm2

C.

144 cm2

D.

24 cm2

Correct option is A

Given:

An isosceles right-angled triangle with two equal sides of length 12 cm each.

Formula Used:

In an isosceles right-angled triangle, the two equal sides are the legs of the triangle, and the angle between them is 90°

The area of a right-angled triangle is given by:

Area of right-angled isosceles = 12×Base×Height \frac{1}{2} \times \text{Base} \times \text{Height}​​

Solution:

Area of right-angled isosceles:

=12×12×12= \frac{1}{2} \times 12 \times 12​​

=12×144= \frac{1}{2} \times 144​​

=72 cm2= 72 \, \text{cm}^2​​

Thus, the area of the triangle is 72 cm272 \, \text{cm}^2​​

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