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The perimeter of right triangle is 60cm. Its hypotenuse is 25 cm. Find the area of the triangle |
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Answer» Area = s(s-h)Area = 30(30-25) = 30*5 = 150 Area of triangle=150 Perimeter of that triangle = 60cmthe measure of hypotaneous = 25cmthen the rest sides must measure = 60-25= 35let one side be xthen, thw measure of the third side must be 35 - xusing pythagoras theorem(25)^2 =(x)22 + (35-x)2625 = x2 + x2 - 70x + 1225x2 + x2 - 70x + 1225 = 625x2 + x2 - 70x + 1225 -625 = 02 x2 - 70x + 600 = 02x2 - 40x - 30 x + 600= 02x (x-20) -30 ( x - 20) = 0(x-20)(2x-30)=0x -20 = 0x = 202x -30 =02x =30x = 15so,one of the side measure either 20 cm 15 cmif one side measure 20cm then the other must measure 35 -20 = 15cmand if it measured 15 cm then the other side measure 35-15 = 20 cmso,we will get 20cm and 15 cm as our remaining sides.one of then will be height and the other misy be the base,now apply the formula of area of triangle i.e(1/2) (height)(base)= (1/2 )(20)(15)= 150 cm2so, the area of that triangle will be 150 cm2.\xa0 |
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