the perimeter of a right angled triangle is 60cm.if its hypotenuse is 26cm,find the area of the triangle
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Step-by-step explanation:
Given the perimeter of the right-angle triangle is 60 m and the hypotenuse is 26 cm
Let the base and height of the right-angle triangle is a and b cm
Then a2+b2=(26)2
∴a+b+a2+b2=60⇒a+b+26=60⇒a+b=60−26⇒a+b=34
∴(a+b)2=(34)2⇒a2+b2+2ab=1156⇒2ab=1156−(26)2=1156−676=480⇒ab=240
Then area of right angle triangle = 21ab=21×240=120cm2
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