Question

Find the area of triangle XYZ if length XY equals 7 and length XZ equals 4.3. You also

know that angle Y equals 79°.

Answer 1

A ≈ 14.8 units²

Explanation:

the area (A) of the triangle is calculated as

A =
`(1)/(2)` yz sin Y ( that is 2 sides and the angle between them )

where x is the side opposite ∠ X and z the side opposite ∠ Z

here y = XZ = 4.3 and z = XY = 7 , then

A =
`(1)/(2)` × 4.3 × 7 × sin79°

= 15.05 × sin79°

≈ 14.8 units² ( to 1 decimal place )