# geometry

If the base of an isosceles triangle has a length of 10, what is the shortest possible integral value for the length of each of the congruent sides?

1. 👍
2. 👎
3. 👁
1. You know that the length of any side of a triangle must be less than the sum of the lengths of the other two sides.

So, the other two sides must be at least 11. That means each of the two congruent sides must be at least 6.

1. 👍
2. 👎

## Similar Questions

1. ### algebra

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

2. ### math

An isosceles triangle has a base of 20 cm. The vertex angle is 82 . Find the length of Each of the two equal sides of the triangle.

3. ### pre calculus

The base of an Isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base. the answer is: A=a^2times the square root of 15 ------------------------------ 4 How

4. ### geometry

The perimeter of an isosceles triangle is 42 cm . its base is 2/3 times the sum of the equal sides . find the length of each side and the area of the triangle.

1. ### algebra

The figures in the pair are similar. Find the missing length. The image is of two proportionate isosceles triangles with vertical bases. One triangle has its base marked as 6 cm and two sides as 4 cm and 4 cm respectively. The

2. ### Trig

The length of the base of an isosceles triangle is one fourth the length of one of its legs. If the perimeter of the triangle is 16 inches, what is the length of the base?

3. ### college algebra

an isosceles triangle has at least two sides of equal length. Determine whether the triangle with vertices (0,0), (3,4),(7,1) is isosceles.

4. ### math

The base of an isosceles triangle is 4/3 cm.the perimeter of the triangle is 4 2/15cm. What is the length of either of the remaining equal sides

1. ### calculus

An isosceles triangle is drawn with its vertex at the origin and its base parallel to the x-axis. The vertices of the base are on the curve 5y=25-x^2 Find the area of the largest such triangle.

2. ### math

the perimeter of a isosceles triangle is 28cm with side 4y=6y-2x+1 and base x+2y in cm, find x and y and state the length of the side of the triangle.

3. ### geometry

Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long. a. Find the length of a leg of the triangle b. Find the altitude of the triangle c. What is the area of the triangle?

4. ### geometry

The legs of an isosceles triangle have lengths 2x+4 and x+8 . The base has length 5x-2 . What is the length of the base?