Question

Abc is a right angeld triangle in which trianglea=90 and ab=ac. Find triangleb and trianglec.

Answer 1

sum of all Angel is 180°
it is given ab=ac so their Angel r also equal

now let us suppose Angel b as a x then also c is x

so

90+x+x=180
2x=180-90
2x=90
x=45

so Angel b and c is 45

Answer 2

Question :

ABC is a right angled triangle in which angle A = 90° and AB = AC. Find the angle B and angle C.

Answer :

In right angled triangle ABC, ∠A = 90° and AB = AC

so,

It is a right isosceles triangle.

So,

∠B = ∠C     [∴ as AB = AC]

To be found :

value of ∠B and ∠C

We know that,

Sum of all interior angles is 180°

So,

∠A + ∠B + ∠C = 180°

⇒ 90° + ∠B + ∠C = 180°

[ ∴ as ∠A = 90°    (given) ]

⇒ 90° + ∠B + ∠B = 180°

[∴ as ∠B = ∠C, so we can write ∠B in place of ∠C ]

⇒ 90° + 2∠B = 180°

⇒ 2∠B = 180° - 90°

⇒ 2∠B = 90°

⇒ ∠B = 90° ÷ 2

⇒ ∠ = 45°

Hence,

∠C = 45°     [ ∴ as ∠B = ∠C ]

Therefore,

value of ∠B and ∠C is 45° each.