SSC CHSL 5 Mar 2018 Shift 3 Paper

Section: English Language

Question : 25 of 100

Marks: +1, -0

In ΔABC measure of angle B is 90°. If cosecA = 13/12, and AB = 10cm, then what is the length (in cm) of side AC?

Solution:

Given : AB = 10 cm and cosec A = 13/12
⇒

cosecA ={AC}/{ BC} = 13/12

Let

AC =13x \and Bc =12x

In right triangle ABC, ⇒

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

⇒

(13x) ^2 = (10)^ 2 + (12x)^ 2

⇒

169x ^2 − 144x ^2 = 100

⇒

25x ^= 100

x^2 =100 /25 = 4

⇒

x = √4 = 2

∴ AC = 13 × 2 = 26

Go to Question:

Prev Question

Next Question