Question

Which expression can be used to find the area of triangle RST? (8 ∙ 4) - 1/2 (10 + 12 + 16) (8 ∙ 4) - (10 + 12 + 16) (8 ∙ 4) - 1/2 (5 + 6 + 8) (8 ∙ 4) - (5 - 6 - 8)

Answer 1

C----(8 * 4) - 1/2(12 + 10 + 16)

Explanation:

trust

Answer 2

The corresponding graph is attached below

Answer:

(8 * 4) - 1/2(12 + 10 + 16)

Explanation:

To determine the area of the triangle RST;

Draw a rectangle to enclose the triangle RST, after drawing the rectangle, 3 other triangles are formed. The sum of the areas of the 3 triangles formed is then subtracted from the area of the rectangle ;

The area of the rectangle depicts the entire area of the entire figure.

Area of rectangle = (length * width)

Area of triangle = 1/2 * base * height

Area of rectangle = (8 * 4)

Area of triangle 1 = 1/2 (3*4) = 1/2 * 12

Area of triangle 2 = 1/2 (2*5) = 1/2 * 10

Area of triangle 1 = 1/2 (2*8) = 1/2 * 16

Hence, Area of RST ;

Area of rectangle - (area of (triangle 1 + triangle 2 + triangle 3))

(8 * 4) - [(1/2 * 12) + (1/2 * 10) + (1/2 * 16)]

(8 * 4) - 1/2(12 + 10 + 16)