# maths

posted by uzoma

The sides of an equilateral triangle are 3a+2, 3b-a and b+3 respectively. what is the value of a and b and find the perimeter of the triangle

1. Arora

All sides of an equilateral triangle are equal.

So,
3a + 2 = 3b - a
=> 4a - 3b = -2 ....1

3b - a = b + 3
=> 2b - 3 = a ....2

Put (2b-3=a) in ....1

=> 4(2b - 3) - 3b = -2
=> 8b - 12 - 3b = -2
=> 5b = 10
=> b = 2

Now you can obtain 'a' too
Add all sides to find the perimeter.

## Similar Questions

1. ### Algebra

The perimeter of an equilateral triangle is 7 in. more than the perimeter of a square. The side of the triangle is 5 in. longer than the side of the square. Find the length of each side of the triangle. (Note: An equilateral triangle …
2. ### math

you start with an equilateral triangle and then trisect each of the sides with a new equilateral triangle on the middle third of each trisection, repeat the process indefinitely how would you prove that the perimeter is infinite?
3. ### maths

perimeter of a equilateral triangle is given as 42 cm. Find the perimeter of a shaded part of triangle if the 3 sectors of a circle marked are identical
4. ### Math

If all of the following triangles have the same perimeter, which has the greater area?
5. ### math

The perimeter of a square piece of land is twice the perimeter of an equilateral triangle. (an equilateral triangle has three equal sides.) If one side of the square is 45 feet, find the length of the sides of the triangle. 2x + 3 …
6. ### maths

find the perimeter of an equilateral triangle whose sides are:4 x rays to 2 -3y+8.
7. ### Algebra 2

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the sum of a finite geometric series. The sides of an equilateral triangle measure 16 inches. The midpoints of the sides …
8. ### math

if the three sides of an equilateral triangle are 3x + 2, 2y - X and y + 3. find X and y and the perimeter of the triangle. kindly elucidate further on this question
9. ### maths

the sides of an equilateral triangle is as follows. 3a+2, 3b-a and b+3. find the value of a, b and the perimeter of the triangle
10. ### Maths

The sides of the equilateral triangle is 3x+2,2y-x and y+3 find x and y.and the perimeter of the triangle

More Similar Questions