the perimeter of a right triangle is 40cm and its hypotenuse is 17cm.calculate it's area.
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60 cm^2 is the perimeter of a right triangle is 40cm and its hypotenuse is 17cm.calculate it's area.
GunjanVedi:
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Let a, b c be the three sides of the right angled triangle, with c as the hypotenuse.

Then from the given statements we may write :
a+b+c=40a+b+c=40
c2=a2+b2c2=a2+b2
So, we have 2 equations and 3 unknowns. One more condition, is thus required to answer the question.
If, suppose, the question mentioned that the sides had integral lengths, then we can choose a suitable Pythagorean triplet, which in this case will be :
8,15,178,15,17
And, then the area would be = 60

Then from the given statements we may write :
a+b+c=40a+b+c=40
c2=a2+b2c2=a2+b2
So, we have 2 equations and 3 unknowns. One more condition, is thus required to answer the question.
If, suppose, the question mentioned that the sides had integral lengths, then we can choose a suitable Pythagorean triplet, which in this case will be :
8,15,178,15,17
And, then the area would be = 60
Omg
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