Question

Given the overlapping triangles shown at the right. Notice the parallel segments. Find x. 6 х 9 MathBils.com 20​

Answer 1

Using the principle of parallel lines, the value of x in the given triangle is calculated to be 8

The smaller triangle can be expressed as :

• Side / base = 6/x ----(1)

The larger triangle can be expressed as :

• Side / base
• Side = 6+9 = 15
• 15/20 - - - - - (2)

Equating (1) and (2) :

6/x = 15 / 20

15x = 20 × 6

15x = 120

x = 120 / 15

x = 8

Therefore, the value of x in the triangle is 8.

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