Sum of perpendicular sides of a right triangle is 34cm and its area is 120sqcm . Find all sides of the triangle
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2
Answer:
a+b=34
1/2(ab)=120
a×b=240
We know (a+b)²=a²+b²+2a×b
hypotheses²=a²+b²
hyp²=34²-2×240
hyp=26
(a-b)²=a²+b²-2a×b
=676-2×240
=196
a-b=14
by solving a+b and a-b
We get a=24,b=10,hyp=26
Answered by
1
a + b = 34
1/2(ab) = 120
a × b = 240
We know (a+b)² = a² + b² + 2a × b
hypotheses² = a² + b²
hyp² = 34² - 2 × 240
hyp=26
(a-b)²=a²+b²-2a×b
= 676 - 2 × 240
= 196
a-b=14
by solving a+b and a-b
We get a=24,b=10,hyp=26
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