Question

The perimeter of a right angled triangle is 70 units
and its hypotenuse is 29 units we would like to find
the length of the other sides.​

Answer 1

Answer:

x=20

y=21

Step-by-step explanation:

Let the length of one of the sides be x and the other be y

given, hypotenuse = 29 units

perimeter= 70 units

x+y+hypotenuse = 70

=} x+y+29 = 70

=} x+y= 41

=} y = 41-x

by using pythagoras theorem

(hypotenuse)² = x²+y²

29² = x² + (41-x)²

=}841 = x² + x² -82x+ 1681

=} 2x² -82x + 840= 0

=} x²-41x+420=0

=} x²-21x-20x+420=0

=} x(x-21)-20(x-21)= 0

=} (x-20)(x-21)=0

=} x=20 or x=21

=} y=21 or x=20

∴ the sides are 20 units and 21 units

Answer 2

Answer:

21 and 20 is the side of triangle

solution is in image i have considered side of triangle as a,b,c where a is hypotenuse