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.
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
3 answers