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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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