# math

posted by .

the short side of an isosceles triangle is 16cm long. by increasing each side length by 24 cm doubles the perimeter.how long are the other sides of the original triangle? ..

• math -

Make an equation to help you solve!
We know that:
Side1=16cm
Side2=Side3
Let's name Side1 x, and Side2 and Side3 (Because they are the same) y.

Perimeter=Side1+Side2+Side3
Perimeter=x+y+y
Perimeter=x+2y

Sub in your value for x:
P=16+2y

Now, we also know that:
2P=(Side1+24cm)+(Side2+24cm)+(Side3+24cm)
2P=x+2y+72
2P=2y+72+16
2P=2y+88

Let's isolate for P:
2P=2y+88
(2P)/2=(2y+88)/2
P=y+44

Now we can equate the two equations to find y, because P=P!

Good luck (:

• math -

yolo

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Grade 6 math

One side of an isosceles triangle is 15 cm shorter than the other 2 sides. The perimeter is 120 cm. How long are the sides of the triangle?
2. ### Algebra 1

Two sides of a triangle have the same length. The remaining side is one third as long as each of the other sides. If the perimeter of the triangle is 315 cm, what is the length of each side?
3. ### Algebra 1

Two sides of a triangle have the same length. The remaining side is one third as long as each of the other sides. If the perimeter of the triangle is 315 cm, what is the length of each side?
4. ### perimeter

a pennant is shaped like an isosceles triangle.the short side is 14in.long and is half the length of each longer side.find the perimeter
5. ### geometry

The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest …
6. ### Math

the short side of an isosceles triangle is 16cm long increasing each side length by 24cm doubles the perimeter. how long are the other sides of the original triangle?
7. ### Math (Geometry)

The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest …
8. ### algebra

a triangle has a perimeter of 126 centimeters, each of the 2 longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle.
9. ### Math

Two equilateral triangles are sitting side-by-side. The length of one side of Triangle A is 5 ft. The sides of Triangle B are 3 times as long as those of Triangle A. How long is the length of one side of Triangle B?
10. ### algebra

an isosceles triangle is one in which two sides are the same length. The perimeter of an isosceles triangle is 36cm if the length of the congruent sides is 4 times the length of the third side, find the dimentions of the triangle

More Similar Questions