Question

3) The sum of lengths of the perpendicular sides of a right triangle is 26 centimetres its area is 84 square centimetres.

Answer 1

Answer:

area of triangle = 1/2( base)(height)

84= 1/2( x) ( 26-x)

168= 26x-x²

x²-26x+168=0

x²-12x-14x+168=0

x(x-12) -14( x-12)=0

(x-12)(x-14)=0

x-12=0 ; x-14=0

x= 12 ; x = 14

the perpendicular sides are 12 cm and 14 cm