in a right angle triangle the length of median on hypotenuse is 7cm, so the length of hypotenuse is
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Let one side be xcm.Since the difference between the two sides is 7cm
∴ the other side=x+7cm
As the given triangle is a right angled triangle with hypotenuse =17cm
By using pythagoras theorem, we get
x
2
+(x+7)
2
=17
2
⇒x
2
+x
2
+14x+49−289=0
⇒2x
2
+14x−240=0
⇒x
2
+7x−120=0
⇒x
2
+15x−8x−120=0
⇒x(x+15)−8(x+15)=0
⇒(x+15)(x−8)=0
⇒x=−15 or x=8
x=−15 cannot be negative
∴x=8
Hence the two sides of the triangle are 8cm and 15cm
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