Question
The height of a triangle is equal to the perimeter of a
square whose diagonal is 6√2 m and the base of the same triangle is equal to the side of a square whose area is 484 m². What is the area of the triangle?Solution
Diagonal of a square = 6√2 (√2) a = 6√2 ; a = 6m Now, the height of a triangle = perimeter of a square Height of a triangle = 4 x 6 = 24m Base of the triangle = side of a square Base of a triangle = √484 = 22m Area of a triangle = 1/2 × 24 × 22 = 264 m²
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