The triangles are similar. What is the value of x? Enter your answer in the box. x = two right triangles. the larger triangle has a long leg of 96 units, short leg of 28 units, and the hypotenuse is labeled 6 x plus 28. the smaller triangle has a long leg of 24 units, short leg of 7 units, and hypotenuse of 25 units.

Find the scale factor by dividing the long sides and short side:

96 / 24 = 4

28 / 7 = 4

This means the larger triangle is 4 times bigger than the smaller one.

Now use that scale factor to calculate the hypotenuse:

The length of the smaller hypotenuse is 25, scale that by 4 to get 25 * 4 = 100

This means the larger hypotenuse needs to equal 100:

6x+28 = 100

Subtract 28 from each side:

6x = 72

Divide both sides by 6:

x = 72/6

x = 12