NCERT Solution Class X Mathematics Introduction to Trigonometry Question 8 (Ex 8.1)

Question 8:

If 3 cot A = 4, Check whether

Answer:

It is given that 3cot A = 4

Or, cot A = 4/3

Consider a right triangle ABC, right-angled at point B.

If AB is 4k, then BC will be 3k, where k is a positive integer.

In ΔABC,

(AC)2 = (AB)2 + (BC)2

= (4k)2 + (3k)2

= 16k2 + 9k2

= 25k2

AC = 5k

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