Question

What is YZ to the nearest tenth?A scalene triangle XYZ is given. The length between XZ is 14 and XY is 12. The angle YXZ is 98 degrees.

Answer 1

Explanation:

Given two sides and the angle between, the cosine rule can be used to find the third side.

YZ^2 = XZ^2 + XY^2 - 2*XZ*XY*cos(X)

YZ = (14^2 + 12^2 - 2*14*12*cos98deg)^(1/2)

= 19.666

= 19.67

Answer 2

Explanation:

cos rule

YZ=sqrt(14^2+12^2-2*14*12*cos98deg)

=19.67