3,4,x and 7,24,y are pythagorean triples then x+y=
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Given:
3,4,x and 7,24,y are Pythagorean triples
To find:
the value of x+y
Solution:
the given terms are the Pythagorean triplet so they must satisfy the formula for the Pythagorean sides
P²+B² = H²
For the triplet 3,4,x
- 3²+4² = x²
- x² = 9+16
- x² = 25
- x = 5
For the triplet 7, 24, y
- 7²+24² = y²
- 49+576 =y²
- y² = 625
- y = 25
The value of the expression x+y is given by:
- 5+25
- 30
The value of x+y is 30
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