Question

In triangleABC, m<A + m<B = m<C.
What is the measure of AB if
AC = 7 and BC= 24? *
O 31
25
17
50​

Answer 1

Answer:

R.E.F image

In Δ ABC, B is at right angle.

Given, AB=24cm

BC=7cm

using Pythagoras theorem

AB

2

+BC

2

=AC

2

⇒(24)

2

+(7)

2

=AC

2

⇒AC=

(24

2

)+(7)

2

=

576+49

=

625

⇒AC=25CM

(i)sin A=

AC

BC

=

25

7

cos A=

AC

AB

=

25

24

(ii)sin C=

AC

AB

=

25

24

cos c=

AC

BC

=

25

7

solution