The perimeter of an isosceles triangle is 36 centimeters and two sides of the triangle are in the ratio 2:7. What is the number of centimeters in the length of the longest side?

Guest Oct 14, 2020

#1**+1 **

From a Google search

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

Possible combos:

2x + 7x < 36-9x

18x < 36

x < 2

x =1 ~~ 2 7 27~~

x=2 ~~ 4 14 18 ~~ ~~ These ~~do not meet the triangle inequality theorem above

x = 1.5 5 17.5 13.5 <==== possible 5:17.5 = 2:7 longest = 17.5 cm

ElectricPavlov Oct 15, 2020

#2**+2 **

The perimeter of an **isosceles** triangle is 36 centimeters and two sides of the triangle are in the ratio 2:7. What is the number of centimeters in the length of the longest side?

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

An isosceles triangle is a triangle with two equal sides.

If the ratio of the two sides is 2:7 then the ratio of all 3 sides is **2:7:7 **

** The length of the longest side is:> 7(36 / 16) = 15.75 cm **

Dragan Oct 15, 2020