Answer:
(a) Area = 90 units² , (b) RQ = 18 units
Step-by-step explanation:
(a)
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = PR = 15 and h = QT = 12 , then
A = [tex]\frac{1}{2}[/tex] × 15 × 12 = 7.5 × 12 = 90 units²
(b)
The area can also be calculated using
b = RQ and h = PS = 10 , then with A = 90
[tex]\frac{1}{2}[/tex] × RQ × 10 = 90
5 RQ = 90 ( divide both sides by 5 )
RQ = 18 units
