Question

the hypotenuse of a right angled triangle is 25cm and its perimeter 56cm . find the length of the smallest side.​

Answer 1

Answer:

smallest side will be 7 cm

Step-by-step explanation:

Answer 2

The remaining sides are of length 7 cm and 24 cm.

The area is 84 (cm)2.

Explanation:

Suppose that the lengths of the sides making the right angle are

xandy.

Since the hypotenuse is 25 cm, we have,

x2+y2=252=625....................(⋆1).

Further, the perimeter is 56 cm, so that, we get,

x+y+25=56,or,x+y=56−25=31.................(⋆2).

We get, from (⋆2),y=31−x.

Subst.ing in (⋆1),x2+(31−x)2=625.

∴x2+(312−62x+x2)−252=0.

∴2x2−62x+(31+25)(31−25)=0.

∴2x2−62x+56×6.