# geometry

posted by .

: the perimeter of triangle abc is 26m bc is two -thirds as long as ab and it is also 2m longer than ac .find the lengths of the three sides

• geometry -

p = ab+bc+ac = 26
bc = 2/3 ab
bc = ac+2

ab + 2/3 ab + (2/3 ab - 2) = 26
ab (1 + 2/3 + 2/3) - 2 = 26
7/3 ab = 28
ab = 12
bc = 8
ac = 6

## Similar Questions

1. ### geometry

The perimeter of an isosceles triangle is 37 in. The lengths of the two equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the three sides. 37=2L+2W W=3W-6 do i have this equation wrote right when i …
2. ### geometry

The perimeter of an isosceles triangle is 37 in. The lengths of the two equal legs are 6 in. less than 3 times the length of the base. Find the lengths of the three sides. 37=2L+2W W=3W-6 do i have this equation wrote right when i …
3. ### math

In any triangle the sum of the measures of the angles is 180. In triangle ABC, A is three times as large as B and also 16 larger than C. Find the measures of each angle. I also would like to know how to solve these problems: In isosceles …
4. ### geometry

In triangle ABC, • AB is x cm long • BC is twice the length of AB • AC is 10 cm longer than AB. The perimeter of the triangle is 42 cm. Write down an equation in x and solve it. Use your answer to find the lengths of the sides …
5. ### Math

One side of the triangle is 2cm longer than the second side. The third is 3/5 as long as the first side. If the perimeter of the triangle is 24cm, Find the lengths of the three sides.
6. ### geometry

triangle abc is similar to def, the lengths of the sides of triangle abc is 5,8,11. what is the length of the shortest side of triangle def if its perimeter is 60?
7. ### algebra

A triangle has a perimeter of 56 centimeters. Each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle
8. ### algebra

A triangle has a perimeter of 112 centimeters, each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle
9. ### Geometry

In triangle ABC, AD bisects angle A, BD=4 and CD=5. The perimeter of triangle ABC is 29. Find the lengths of AB and AC.
10. ### Geometry

in two congruent triangles the ratio of lengths of two corresponding sides is 5:8. If the perimeter of the larger triangle is 10 ft less than twice the perimeter of the smaller triangle find the perimeter of each triangle

More Similar Questions