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39 votes
The triangles are similar. Find the value of x.

The triangles are similar. Find the value of x.-example-1
User Patrick Reck
by
2.6k points

1 Answer

20 votes
20 votes

Answer:

x = 36

Explanation:

Remark

This can be done as a proportion. A proportion consists of 2 ratios which means it has 4 parts. If you know three of them, you can solve for the 4th.

We can use the following proportion

42/14 = x / 12 Notice that both ratios have tops and bottoms that use corresponding parts. Cross Multiply

14*x = 42 * 12 Combine the right

14x = 504 Divide by 14

x = 504/14

x = 36

User Cristian Mora
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2.8k points