Question

In ∆ABC, A = B + C. find A. What kind of a triangle is it? If it is further given that B =2C, find B and C.

Answer 1

A=90

Right angled triangle

B=60

C=30

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Answer 2

Answer:

Step-by-step explanation:

In the given triangle ABC,

∠A = ∠B + ∠C

let ∠A = ∠B + ∠C = x

∠A = x

and ∠B + ∠C = x

∠A + ∠B + ∠C = 1800 (By using Angle sum property)

x + x = 1800

 x = 900

 ∠A = 900

 Triangle ABC is a right angled triangle.

If it is further given that ∠B = 2 ∠C

∠B = 60

0

, ∠C = 300

Therefore, ∠A = 900

, ∠B = 600

, ∠C = 300