Question

What are the unknown measurements of the triangle? Round your answers to the nearest hundredth as needed.

Answer 1

The unknown measurements of the triangle are C = 28°, c = 3.76 and b = 7.06.

Sine rule

Sine rule is used to show the relationship between sides of a triangle and the angles. It is given by:

• $\frac{a}{sinA}= \frac{b}{sinB}=\frac{c}{sinC}$

Where a, b, c are the sides and the angles opposite the sides are A, B, C respectively.

• A + B + C = 180° (angles in a triangle)
• 62 + 90 + C = 180
• C = 28°

$\frac{a}{sinA}= \frac{b}{sinB}\\ \\ \frac{8}{sin(90)}=\frac{b}{sin(62) }\\ \\ b=7.06\\ \\ \\ \frac{a}{sinA}= \frac{c}{sinC}\\ \\ \frac{8}{sin(90)}=\frac{c}{sin(28) }\\ \\ c=3.76$

The unknown measurements of the triangle are C = 28°, c = 3.76 and b = 7.06.

Find out more on sine rule at: brainly.com/question/2264443