SOLUTION: A triangle has sides measuring 5 cm, 5 cm and 6 cm. A second triangle is drawn with sides 5 cm, 5 cm and x cm , where x is a whole number other than 6 . If the two triangles hav

Question 550143: A triangle has sides measuring 5 cm, 5 cm and 6 cm. A
second triangle is drawn with sides 5 cm, 5 cm and x cm ,
where x is a whole number other than 6 . If the two triangles
have equal areas, what is the value of x?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
think of the 5-5-6 triangle with the 6 side horizontal
The area is is the height
since the height is a leg of
a 3-4-5 right triangle
---------------
The 5-5-x triangle with x side horizontal
The area is
---------------
given:

in terms of is

and

Let

Complete the square

x is 8 cm
check answer:

and

OK
and

OK
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