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CAT 2017 Slot 1 — QA Question 20

Basics of TrianglesEasy

Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respectively. The minimum possible time, in minutes, required to reach the hypotenuse from A at a speed of 30 km per hour is:

Answer & solution

Answer: 24

Solution

Given triangle is right triangle with smaller sides as 15 and 20, hence the hypotenuse will be 25.

Altitude from right vertex to hypotenuse = (15 × 20)/25 = 12

This is the shortest distance from A to BC. At 30 km/hr = 12/30 hrs = 12/30 × 60 mins = 24 mins.

Hence, 24.

CAT 2017 Slot 1 QA Q20: Let ABC be a right-angled triangle with BC as the hypotenuse. Lengths of AB and AC are 15 km and 20 km, respec — Solution | TheCATExam