Question

Find the area of the triangle.
image of a triangle whose three sides are marked 19ft, 5 ft, and 12 ft; the 12 ft side of that triangle forms a second triangle whose sides are dashed line and the vertical side, which is adjacent to the 12 ft side, is labeled 8 ft and the corner opposite the 12 ft side has a box in it
76 ft2
30 ft2
20 ft2
40 ft2

Answer 1

square of 12 minus square of 8 =4 rootover5
total area = \[\frac{ 1 }{ 2 }\] *8 *(5+4 rootover5)= 20 + 16 roootover5
area of extended triangle= \[\frac{ 1 }{ 2 }\]*8* 4 rootover5=16 rootover5
area of original triangle=20+ 16 rootover5 -16 rootover5=20
hence, d ans is 20ft2

Answer 2

too long ^
area = 1/2 base altitude = 1/2 * 5 * 8 = 20