Question

4. Determine the square of hypotenuse if the sides of right angle triangle are as following: (a) 12m. 13m (b) 10m 24 cm (c)3.5 m, 4.5 m (d) 15 m., 20 m.
(e) 20m, 48 cm.​

Answer 1

Answer:

Given: Hypotenuse of right triangle =25 cm

Let the other sides be x and x+5

Thus, By Pythagoras Theorem:

252=x2+(x+5)2

625=x2+x2+25+10x

2x2+10x−600=0

x2+5x−300=0

x2+20x−15x−300=0

(x+20)(x−15)=0

x=15,−20

Thus, the other two sides are 15 cm and 20 cm.