Question

Pls help! Looking for the missing length of n

Answer 1

The length of n is 40 ⇒ C

Explanation:

The corresponding sides of the similar triangles are proportional, means have equal ratios

In the given figure

∵ The original triangle and its projection are similar

∴ Their corresponding sides have equal ratios

∴
`(15)/(30)` =
`(20)/(n)`

→ By using the cross multiplication

∵ 15 × n = 30 × 20

∴ 15n = 600

→ Divide both sides by 15

∵
`(15n)/(15)` =
`(600)/(15)`

∴ n = 40

∴ The length of n is 40