Question

Solve the right-angled triangle when: Angle C= 90 degree, Angle A= 30 degree and AB= 10 cm.

Answer 1

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

.

solution