2 answers:
Answer:
x = 24
Step-by-step explanation:
The triangles are similar so we can use ratios to solve
x 6
------ = -----------
x+8 8
Using cross products
8x = 6*(x+8)
8x = 6x+48
Subtract 6x from each side
8x-6x = 48
2x = 48
Divide by 2
2x/2 = 48/2
x = 24
Answer:
x = 24
Step-by-step explanation:
Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.
From there, we can set up a ratio:
(x+8)/x = 8/6
Multiply both sides by x:
x+8 = 8x/6
Multiply both sides by 6:
6x+48 = 8x
Move the 6x to the right:
48 = 2x
Divide both sides by 2:
x = 24
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