Question

Consider the non-right triangle below.

Suppose that m∠ABC=44∘, and that x=16 cm and y=13 cm. What is the area of this triangle?
 cm^2   
​

Answer 1

72 cm²

Explanation:

Given:

m<ABC = 44°

x = 16 cm

y = 13 cm

Required:

Area of the triangle

Solution:

Formula for finding area of a triangle using the Side-Angle-Side method is given as:

Area = ½*ab*sin C

where,

a = 16

b = 13

C = 44°

Plug in the values

Area = ½(16*13)*sin 44

Area = 72.2444705 ≈ 72 cm²