The triangles shown are similar.



What is the value of x?



Two similar triangles, one triangle has legs 3 units and 4 units and hypotenuse of 5 units, another triangle has legs 9 units and 12 units and hypotenuse of unknown units.

Question 3 options:

20

12

13

15

1 answer

Since the triangles are similar, their corresponding sides must be proportional.

In the first triangle, the ratio of the lengths of the legs is 3:4. In the second triangle, the lengths of the legs are 9:12, which simplifies to 3:4 as well.

Similarly, the ratio of the length of the hypotenuses is 5:x.

We can set up a proportion to find the value of x:

3/4 = 5/x

Cross-multiplying, we get:

3x = 20

Dividing both sides by 3, we get:

x = 20/3

Therefore, the value of x is approximately 6.67.

None of the given answer options match this value, so none of them are correct.
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