Question

Two sides of a triangle are 8cm and 10 cm height of the triangle corresponding to 8 cm is 12 cm Find the height of the triangle corresponding to 10 cm

Answer 1

From the question, I assume that:

• Two sides of a triangle are given

• There are two triangles

• The two triangles are corresponding to each other.
• 8 cm = 12 cm
• 10 cm = x cm

Place a similarity ratio:

$\frac{8}{12} =\frac{10}{x}$

Cross multiply and solve:

8 · x = 12 · 10

8x = 120

x = 120 ÷ 8

x = 15

The height of the triangle corresponding to 10 cm is 15 cm.