Question

The perimeter of a right triangle is 40cm. If the hypotenuse is 17cm, find the length of other two sides.

Answer 1

Step-by-step explanation:

square of 40 equal to 17 square plus another side square

Answer 2

Answer:

Step-by-step explanation:

Let the measure of one side be x

then the measure of the other side will be 40-17-x=23-x

Now according to the pythagoras theorem,

(AC)2=(AB)2+(BC)2

(17)2=(x)2+(23-x)2

289=x2+529-46x+x2

2x2-46x+529-289=0

2x2-46x+240

2(x2-23x+120)=0

x2-15x-8x+120=0

x(x-15)-8(x-15)

So x=15 or x=8

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