Question

In triangle ABC, a = 10.7 cm, b = 9.0cm and ∠B=55°
a) Does the ambiguous case need to be considered? Give mathematical proof and draw both possible scenarios.
b) Determine the measure(s) of ∠A to 1 decimal place.

Answer 1

The measure of angle A in the triangle ABC with measure a = 10.7 cm, b = 9.0cm and ∠B=55° is 76.9°

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

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

Using sine rule:

a /sin(A) = b/sin(B)

Hence:

10.7/ sin(A) = 9 / sin(55)

A = 76.9°

The measure of angle A in the triangle ABC with measure a = 10.7 cm, b = 9.0cm and ∠B=55° is 76.9°

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