Question

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A flashlight is projecting a triangle onto a wall, as shown below.
O 20
12.
O 19
16
The original triangle and its projection are similar. What is the missing length n on the projec
O 12
011/
15.

Answer 1

The value of n in the triangle is 20

Since the triangles are similar, we can create a proportional expression thus :

• 12 = 15
• 16 = n

Using the relationship above, we can find , n ;

12 = 15

16 = n

cross multiply

12n = 15 × 16

12n = 240

n = 240/12

n = 20

The value of n is 20