Question

8. In a ABC, ZB = 35° and ZC = 55°. Write which of the following is true;
(i) AC2 = AB? + BC2
(ii) AB2 = BC2 + AC2
(iii) BC2 = AB2 + AC2

Answer 1

Answer:

Given that ∠B=35

o

and ∠C=55

o

Then ∠A=?

We know that the sum of the angle of three sides of triangle is equal to 180o

∠A+∠B+∠C=180

o

∠A+35

o

+55

o

=180

o

∠A+90

o

=180

o

∠A=180−90

∠A=90

o

Also, we know that side opposite to the right angle is the hypotenuse

∴ AC

2

=AB

2

+AC

2

Hence (iii) is true