Question

the perimeter of a right angle triangle is 60 CM its hypotenuse is 26 cm find the other two sides and the area of triangle​

Answer 1

Answer:

120cm²

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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