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Question:

The length of the hypotenuse of a right-angled triangle is 37 cm and the length of one of its other two sides is 12 cm. What is the area of the triangle?

Explanation:

Using pythagorus theorem,

37² = 12² + (3^rd side)²  

⇒ (3^rd side)² = 1369 - 144 = 1225

⇒ 3^rd side = 35

∴ Area of triangle = 1/2 × 12 × 35 = 210 cm²

Hence, option (c).