Let ABC be a right-angled triangle with sides 5 cm, 12 cm and 13 cm. If p is the length of the perpendicular drawn from vertex A on the hypotenuse BC, then what is the value of 13p ?

Question

Question

This question was previously asked in

CDS Elementary Mathematics 16 April 2023 Official Paper

Answer 1

Formula used:

Area of triangle = (1/2) × base × height

Caculation:

F2 Savita Defence 31-5-23 Sachin K D25

Area of ΔABC = Area of ΔABC

⇒ (1/2) × AC × AB = (1/2) × p × BC

⇒ AC × AB = p × BC

⇒ 5 × 12 = p × 13

∴ 13p = 60

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