SOLUTION: Find w 1) In the right triangle, the opposite side is w , the adajcent is w+7 and the hypotenuse is w+9. Can you please help me? Thanks in advance.

Algebra ->  Trigonometry-basics -> SOLUTION: Find w 1) In the right triangle, the opposite side is w , the adajcent is w+7 and the hypotenuse is w+9. Can you please help me? Thanks in advance.      Log On


   



Question 697049: Find w
1) In the right triangle, the opposite side is w , the adajcent is w+7 and the hypotenuse is w+9.
Can you please help me? Thanks in advance.

Found 2 solutions by Alan3354, lwsshak3:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find w
1) In the right triangle, the opposite side is w , the adajcent is w+7 and the hypotenuse is w+9.
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%28w%2B9%29%5E2+=+w%5E2+%2B+%28w%2B7%29%5E2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find w
1) In the right triangle, the opposite side is w , the adajcent is w+7 and the hypotenuse is w+9.
Use the Pythagorean Theorem:
Opp side^2+adj side^2=hypotenuse^2
w^2+(w+7)^2=(w+9)^2
w^2+w^2+14w+49=w^2+18w+81
4w=32
w=8