Multiple choice

The perimeter of a right angled triangle is 60 m and its hypotenuse is 26 cm then the area of the triangle is

  1. $ \displaystyle 120$ $\displaystyle cm^{2}$
  2. $ \displaystyle 121 $ $\displaystyle cm^{2}$
  3. $ \displaystyle 119$ $\displaystyle cm^{2}$
  4. $ \displaystyle 125$ $\displaystyle cm^{2}$
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AI explanation

Assuming the intended perimeter is 60 cm, the sum of the two legs is 60 minus 26, which equals 34 cm. The square of this sum is 1156, and subtracting the square of the hypotenuse, 26 squared or 676, leaves 480. Dividing 480 by 2 gives the product of the legs as 240. The area is half of this product, which calculates to 120 cm^2.

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