Find the value of x that makes DEF ~ XYZ .

Question

DEF: 7, 6, and 2x-5

XYZ: 22, 14, and 12

Answer 1

In order to solve this problem you need to apply the area of the triangle formula.

Area of triangle is: (b*h)

____

2

You have to equal each other for each segment.

7=14/2

6=12/2

2x-5=22/2

solve the equation

7=7

6=6

2*(2x-5)=(22/2)*2

The two would cancel out both sides of the equation.

4x-10=22

+10 +10

__________

4x=32

The ten cancels out both side of the equation after it is added.

4x=32

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4. 4

x=8

When you divide the answer x=8 is the solution

ANS: x=8, x=7, x=6

Answer 2

7 = (1/2)(14)

6 = (1/2)(12)

2x - 5 = (1/2)(22)