Question 1187307: What is the missing side length in the image? Tell if the side lengths form a Pythagorean triple. Explain.
Here is a link to the image: https://imgur.com/a/E3FiPtQ
For this problem I got 15 as the missing side length; and yes the side lengths form a Pythagorean triple. Explanation: The set (15, 20, 25), which gives the side lengths of this triangle, is the Pythagorean triple (3, 4, 5) multiplied by 5. Would my answer to this be correct?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616)   (Show Source):
Answer by MathTherapy(10551)  (Show Source):
You can put this solution on YOUR website!
What is the missing side length in the image? Tell if the side lengths form a Pythagorean triple. Explain.
Here is a link to the image: https://imgur.com/a/E3FiPtQ
For this problem I got 15 as the missing side length; and yes the side lengths form a Pythagorean triple. Explanation: The set (15, 20, 25), which gives the side lengths of this triangle, is the Pythagorean triple (3, 4, 5) multiplied by 5. Would my answer to this be correct?
Yes, you're 100% correct. Good job!
It appears as though you did notice that the Pythagorean formula is not necessary here since the hypotenuse,
being 25 units, and one of the legs being 20 units, represent 2 sides of a Pythagorean triple, times 5.
In other words, 25 = 5(5), and 20 = 5(4), so the other side must be 5(3) = 15, giving us 5(3)-5(4)-5(5)m or 15-20-25. Good work!!
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