Question

The sum of the perpendicular sides of a right triangle is 26 cm and its area is 84 square cm What is the product of perpendicular

Answer 1

Answer:

A = 12 cm

B = 14 cm

Step-by-step explanation:

Given A+B = 26

Area = 84 sq cm

Area of a right angle triangle = AB/2

i.e, 84 = AB/2

84 = ((26-B)B)/2

168 = 26B - B^2

B^2 - 26B + 168 = 0

B^2 - 14B -12B + 14*12 = 0

B(B-14) -12(B-14) = 0

(B-14) (B-12) = 0

Therefore, B can be either 14 or 12

Thus A cab be 12 or 14 respectively