Question

THE length of the hypotenuse of a triangle if the area is 72cm is

Answer 1

Answer:

12√2 cm

Step-by-step explanation:

LET US SUPPOSE THE HYPOTENUSE SIDE BE AT THE BASE AND THE OTHER SIDES ARE AT THE TOP.

=>

height=tan(45)∗base/2=base/2

area=base∗height/2=(base∗base/2)/2=base²/4

=> base²= 4.area

=> base = √(4.area) = 2 √area

here the base is the hypotenuse,

so, hypotenuse = 2*√72 = 2 * √36 * √2 = 2*6*√2 = 12√2 cm