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2 years ago

What is the value of a in the diagram below?

Mathematics

1 answer:

adell [148]2 years ago

7 0

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12 and the larger triangle has sides a+a+4 and 12+18 which combine to 2a+4 and 30

a 2a +4

--------- = -----------

12 30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

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What is the value of a in the diagram below?​

What is the value of a in the diagram below?