Question

The ratio of the corresponding sides of two similar triangles is 2:3. If the
smaller triangle is 100 cm, find the area of the larger triangle.
(a) 252 cm (b) 522 cm (c) 225 cm (d) 255 cm​

Answer 1

Answer:

(c) 225 cm

Step-by-step explanation:

(c) 225 cm

( the ratio of the corresponding sides of two similars triangles )² = the ratio of areas of two similar triangles

(2/3)² = 100/area of larger triangle

4/9 =100/ area of larger triangle

area of larger triangle = 100 x 9/4

= 900/4

= 225 cm²