Question

if one angle of triangle is equal to the sumof other two, show that the triangle is the right angle​

Answer 1

Step-by-step explanation:

Let ABC be the triangle. Let ∠A be the greatest angle among the three angles. It is given that

∠A = ∠B + ∠C ..........(1)

Also

∠A + ∠B + ∠C = 180º(sum of angles of a triangle is 180º)

⇒ ∠A + ∠A = 180º ( Using (1) )

⇒ 2∠A = 180º

⇒ ∠A = 90º

Since an angle of ΔABC is right angle, hence it is proved that ΔABC is right angle triangle.

Answer 2

Answer:

heya.....

Step-by-step explanation:

a+b+c =180 -----1

hre....lets think...

b=a+c

then...substitute b in 1st eqn...

2(a+c) =180

a+c= 90...

so,b=90 degree...

hence,proved it is a right angle triangle