hypotenuse of a right angled triangle is 29cm long its area is 210cm square calculate length of perpendicular sides
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Let the length of the smaller arm be x.
Hence, length of the larger arm is (x+5).
Using Pythagoras theorem we get,
x2+(x+5)2=252
2x2+10x+25=625
2x2+10x−600=0
x2+5x−300=0
(x−15)(x+20)=0
Since length of cannot be negative,
Hence, x=15 cm
Therefore, the larger arm will be 15+5=20 cm.
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hypotenuse not in use..
it will be correct if the b=h
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