Question

The dimension of triangle A are twice the dimension of triangle B..The area of trigle A is 98cm2....................WHta is the area of tringle B

Answer 1

area = base * height /2

A area = base *height /2 = 98 cm^2
B area = 2base *2height /2 = 2*base*height = 4*98 =392 cm^2

Answer 2

By the SSS Similarity Theorem, Triangle A is similar to Triangle B. The scale factor from A to B is 2 to 2 or 2/1. If two triangles are similar, the square of their scale factor is equal to the ratio of their areas.

(2/1)^2 = 98/B where B represents the area of triangle B

4/1 = 98/B
4 B = 98
B = 98/4 = 49/2 square cm