Question

List the angles in triangle QRS from smallest to largest.

Answer 1

angle R

Explanation:

To solve this we will use cosine rule

Cosine rule

cos(A) =
`(b^(2)+c^(2)-a^(2))/(2bc)`

suppose,

q = 6.25

s = 11.04

r = 13.19

angleQ =
`cos^(-1)((13.19^(2)+11.04^(2)-6.52^(2))/(2(13.19)(11.04)))`

= 30.58

angleR =
`cos^(-1)((6.52^(2)+11.04^(2)-13.19^(2))/(2(6.52)(11.04)))`

= 93.82

angleS =
`cos^(-1)((6.52^(2)+13.19^(2)-11.04^(2))/(2(6.52)(13.19)))`

= 56.63