SOLUTION: If the lengths of two sides of an isosceles triangle measure 4 and 17 what is the perimeter of the triangle

Algebra.Com
Question 851040: If the lengths of two sides of an isosceles triangle measure 4 and 17 what is the perimeter of the triangle
Answer by ramkikk66(644)   (Show Source): You can put this solution on YOUR website!
If the lengths of two sides of an isosceles triangle measure 4 and 17 what is the perimeter of the triangle
Solution:
In an isosceles triangle, 2 sides are equal.
Since 2 sides are given as 4 and 17, the 3rd side has to be either 4 or 17.
Also in any triangle, sum of 2 sides has to be greater than the 3rd side.
So, in this case, the 3rd side CANNOT be 4, since 4 + 4 is not greater than 17.
So the 3rd side has to be only 17. The 3 sides are 4, 17 and 17.
Perimeter is the sum of the 3 sides - you can work it out  to get 4 + 17 + 17 = 38.

Hope this helps :)


RELATED QUESTIONS

If the lengths of two sides of an isosceles triangle are 4 and 9, what is the perimeter... (answered by rapaljer)
Two sides of an isosceles triangle are 17 and 8. What is the perimeter of the triangle ? (answered by ikleyn,MathTherapy)
If the lengths of two sides of an isosceles triangle are 7 and 15,what is the perimeter... (answered by Earlsdon)
Please help??? 31. Isosceles triangle. An isosceles triangle has two equal sides. If... (answered by richard1234,stanbon)
The perimeter of an isosceles triangle is 22m. Two of the sides are the same length, and... (answered by jim_thompson5910)
An isosceles triangle is a triangle that has two sides of equal length, and the... (answered by mananth)
The sides of an isosceles triangle have lengths of 10, 10, and 4. Find the measure of... (answered by Fombitz)
if the unequal side of an isosceles triangle is 6cm and the sides are in the ratio of... (answered by rfer)
The lengths of two sides of an isosceles triangle are 15 and 22, respectively. What are... (answered by vleith)