Question

The triangles are similar.

What is the value of x?

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x =

Answer 1

12

Explanation:

The big triangle all sides are the little triangle times 4. So 25 times 4 is 100, and 100 - 28 is 72, divide that by 6 to get 12.

Answer 2

Answer: 12

Explanation:

When you take a closer look at the triangles, you will find out that the adjacent of the larger triangle is equal to 4 multiply by the adjacent of the smaller triangle. Also, the opposite of the larger triangle is equal to 4 multiply by the opposite of the smaller triangle. So the same rule follow, the hypotenuse of the larger triangle is 4 multiply by the hypotenuse of the smaller triangle ;

6x + 28 = 25 × 4

6x + 28 =100

subtract 28 from bothside

6x + 28 -28 = 100 - 28

6x = 72

Divide bothside by 6

6x/ 6 = 72/6

x = 12

Ther value of x is 12