Trigonometry
Objective: Use trigonometry functions to find the area of triangles.
In ΔEFG, EF=5, EG=8, and m< E=22*. Find the area of ΔEFG, to the nearest tenth of a square unit.

The area of the triangle EFG is 7.4 square units.

Explanation:

Given that the measurements of the sides of the triangle are EF = 8, EG = 8 and

We need to determine the area of the triangle EFG

Area of the triangle:

The area of the triangle EFG can be determined using the formula,

Substituting the values, we get,

Simplifying the values, we have,

Multiplying, we get,

Dividing, we get,

Hence, the area of the triangle EFG is 7.4 square units.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.