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?
+37146 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
+1490 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?
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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
