The base and hypotenuse of a right triangle are respectively 5 cm and 13 cm long. Its area is

(a) 25 cm²

(b) 28 cm²

(c) 30 cm²

(d) 40 cm²

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Solution

In right angled triangle ABC having base 5 cm and hypotenuse 13 cm we are asked to find its area

Using Pythagorean Theorem

Where, AB = hypotenuse = 13 cm, AC = Base = 5 cm, BC = Height

Area of a triangle, say A having base 5 cm and altitude 12 cm is given by

Where, Base = 5 cm; Height = 12 cm

Therefore, the answer is (c).

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