Question

The sides of a right angled triangle are in 4:3 and their area is 726cm.find their hypotenuse

Answer 1

Step-by-step explanation:Area of traingle =1/2*base*height

1/2*4x*3x=726

12x=726*2

12x=1452

x=1452/12

x=121

(hypotenuse*hypotenuse)=(base*base)+(height*height)

base=4x=4*121=484

height=3x=3*121=363

(hypotenuse*hypotenuse)=(363*363)+(484*484)

=131769+234256

=366025

under root 366025=605

hence hypotenuse is 605 cm