The triangles are similar.

Mathematics

1 answer:

RSB [31]3 years ago

8 0

Answer:

The value of x is 12.

Step-by-step explanation:

In order to find the value of x, we first need to find the scale factor. We can find this by dividing any side of the larger triangle with the corresponding part of the smaller triangle.

28/7 = 4

This means everything in the larger triangle is 4 times as great as the smaller triangle. Knowing this, we can set the larger hypotenuse equal to 4 times the smaller.

6x + 28 = 4(25)

6x + 28 = 100

6x = 72

x = 12

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