Question

two similar triangles have areas of 18cm2 and 32cm2 respectively. if the base of the smallest triangle is 6 cm find the base of the larger triangle

Answer 1

Area = 1/2 x base x height

Find the height of the first triangle:

18 = 1/2 x 6 x height

36 = 6 x height

Height = 6 cm

Now use the area nad height of the second one to find the base:

32 = 1/2 x 6 x base

64 = 6 x base

base = 10 2/3 cm