Question

ABC is a right angled triangle in which ZA = 90° and AB = AC. Show that
ZB=ZC​

Answer 1

Answer:

EXAMPLE-

Step-by-step explanation:

ANSWER

Since AB=AC,

So, △ABC is Right-angled isosceles.

∠B=∠C ...(angles opp. to equal sides are equal)

∠A+∠B+∠C=180

∘

...(angle - sum property of a triangle)

Substituting ∠B=∠C, ∠A=90

o

90

∘

+2∠B=180

∘

2∠B=180

∘

–90

∘

=90

∘

⇒∠B=45

∘

So, ∠C=∠B=45

o

.

Answer 2

Answer:

sum of all angles of right angle triangle is 180°

then, angle A + angle B + angle C =180

90+ZB + ZC = 180

sum of angle B and C is 90

and we have AB = AC

we know angle opposites to equal sides are equal.

ZB =ZC