# algebra

posted by .

Given a right triangle whose side lengths are integral multiples of 7, how many units are in the smallest possible perimeter

• algebra -

The smallest possible perimeter is obtained when we have the smallest possible sides.
But the sides are supposed to be multiples of 7
So they have to be 7 and 14
Hypotenuse^2 = 7^2 + 14^2
Hypotenuse = √245

so smallest possible perimter = 7+14+√245
= 21 + √245

• algebra -

21 + [(square root of 5) x 7]

## Similar Questions

1. ### mathematics

Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k.
2. ### math

Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k
3. ### math

Let 5a + 12b and 12a + 5b be the side lengths of a right-angled triangle and 13a + kb be the hypotenuse, where a, b and k are positive integers. Find the smallest possible value of k and the smallest values of a and b for that k
4. ### Mathematics

Let 5a+12b and 12a+5b be the side lengths of a right-angled triangle and 13a+kb be the hypotenuse, where a,b and k are positive integers. find the smallest possible value of k and the smallest values of a and b for that k.
5. ### Math

The side lengths of a right triangle are each an integral number of units. If one of the legs is 13 units, what is the perimeter of the triangle?
6. ### Pre-algebra (DESPRATE NEED OF HELP!)

A triangle has side lengths of (x+4), (4x-8), and (2x+8) units. If the perimeter of the triangle is at least 88 units, what is the minimum length of each side of the triangle?
7. ### Pre-algebra HELP ME PLEASE

A triangle has side lengths of (x+4), (4x-8), and (2x+8) units. If the perimeter of the triangle is at least 88units, what is the minimum length of each side of the triangle?
8. ### 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 …
9. ### Math

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

THE Perimeter of a triangle is 2004. One Side of a triangle = 21 Times the other. the shortest side is integral length. SOLVE For lengths of the sides of the traingle in every possible case.

More Similar Questions