Question

Suppose P, Q, and R are points in the plane such that PQ = 1.8, PR = 8.2, and ∠PQR = 90°. What is the area of ΔPQR?

a) 4.1 square units
b) 7.4 square units
c) 9.1 square units
d) 16.4 square units

Answer 1

The area of ∆PQR, a right triangle, can be calculated as ½ × base × height, which equals 7.4 square units.

Step-by-step explanation:

To find the area of ∆PQR, we need to use the formula for the area of a right triangle, which is ½ × base × height. Here, ∆PQR is a right triangle with PQ as the base and PR as the height because ∠PQR is given as 90°. Thus, the area can be calculated as follows:

Area = ½ × PQ × PR

= ½ × 1.8 × 8.2

= ½ × 14.76

= 7.38 square units

Hence, the correct answer is (b) 7.4 square units.