Question

The base of a triangle is 80cm and one of the base angles is 60°. If the sum of the lengths of the
other two sides is 90cm, then the shortest side is
1) 15 cm
2) 19 cm
3) 21 cm
4) 17 cm​

Answer 1

Answer:

15 is the answer of this question

Answer 2

Answer:

given a+c=90⁰ and triangle A =60⁰

b=80cm

by using cosA formula we get 1/2=(80)²+c²-a²/2×80c

80c=6400+10(90-c)

100a=7300

then a=73 and c= 17

the shortest side is c=17⁰ so 17⁰ is the correct answer