Respuesta :

Answer:

Area = 15 m²

Step-by-step explanation:

Given:

Triangle with two side lengths, 4 m and 10 m, and an included angle, 50°.

Required:

Area of the triangle

Solution:

Formula for calculating the area of a triangle with two sides and an included angle = ½*a*b*Sin C

a = 4 m

b = 10 m

C = 50°

Plug in the values into the equation

Area = ½*4*10*Sin 50°

Area = 20*Sin 50°

Area = 15.3208889

Area = 15 m² (to 2 s.f)