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Triangle ABC, with vertices A(5,2), B(7,6), and C(2,5), is drawn inside a rectangle, as shown below.

Triangle ABC, with vertices A(5,2), B(7,6), and C(2,5), is drawn inside a rectangle-example-1
User SurferJoe
by
6.5k points

1 Answer

1 vote

Answer:

9 units²

Explanation:

calculate the area of Δ ABC as

area of rectangle - area of 3 outer right triangles

area of rectangle = 5 × 4 = 20 units²

area of left Δ =
(1)/(2) × 3 × 3 = 4
(1)/(2) units²

area of Δ on right =
(1)/(2) × 2 × 4 = 4 units²

area of top Δ =
(1)/(2) × 5 × 1 = 2
(1)/(2) units²

Then

area of Δ ABC = 20 - 4
(1)/(2) - 4 - 2
(1)/(2) = 20 - 11 = 9 units²

User Sherece
by
6.2k points
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