The length of the long leg of a right triangle is 16 inches more than four times of the shorter leg. the length of the hypotenuse is 17 inches more than four times the length of the shorter leg. find the side lengths of the triangle.

The side lengths of the triangle, in order, are 11 inches, 60 inches, 61 inches.

Step-by-step explanation:

Let the shorter leg be x, the longer leg, y and the hypotenus, z.

y = 16 + 4x

z = 17 + 4x

By Pythagoras rule,

z^2 = x^2 + y^2

(17+4x)^2 = x^2 + (16+4x)^2

that is,

x^2 - 8x - 33 = 0  (A quadratic equation)

By factorising,

(x+3)(x-11)=0

either x = -3 or x = 11.

But length cannot be negative. Hence, -3 is dicarded.

x = 11 inches

y = 16 + 4x = 60 inches

z = 17 + 4x = 61 inches

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step-by-step explanation:

1699/ 8548

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540