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a right triangle has the legs length 3x meters and 4x meters and a hypotenuse of length 75 meters. find the lengths of the legs of the triangle

Respuesta :

rachealmolzahn

Step-by-step explanation:

I have included a drawing of the triangle.

we can use Pythagoreans theorem.

a^2+b^2=c^2

So,

(4x)^2+(3x)^2=75^2

16x^2+9x^2= 5,625

we can add like terms.

25x^2 = 5,625

25 25

x^2 = 225

Square root both sides.

x = 15

so, leg of 4x is

4(15)= 60 m

leg of 3x

3(15)= 45 m

Hope this helps!

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