The length of a rectangle is 15 cm and the length of its diagonal is 20 cm .The area of the rectangle is_____. Please help me
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300
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The Length, breadth and Diagonal of a rectangle form a right-angled triangle with the length and breadth as the perpendicular sides and the diagonal as the hypotenuse.
∴ diagonal² = length² + breadth² (by the Pythagorean theorem)
∴ 20² = 15² + b²
⇒ 20² - 15² = b²
400 - 225
⇒ 175 = b²
∴ b = √75 cm = 8.66 cm
Area of rectangle = length × breadth
= (15 × 8.66)cm²
=129.9 cm²
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