# geometry

The altitude of an equilateral triangle is 7 square root 3 units long. The length of one side of the triangle is ____ units.
7
14
14 square root 3
7 square root 3 over 2

1. 👍
2. 👎
3. 👁
1. Draw your right triangle. A standard 30-60-90 has legs in the ratio of height:base = √3:1

Your altitude is 7√3 so the other leg is 7.

The side of the triangle is twice the base, so 14.

1. 👍
2. 👎
2. The altitude of an equilateral triangle is 7 units long. The length of one side of the triangle is ____ units.

1. 👍
2. 👎

## Similar Questions

1. ### Math

1. Rosa, Roberto, Andrea, and Inno find an estimate for square root 10. Who has proposed the best solution? (1 point) Rosa: "Use square root 9 and square root 25 to estimate." Roberto: "I will use square root 4 and square root 9."

2. ### 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

3. ### math

(please explain with brief explanation) The sides of an equilateral triangle are shortened by 12 units,13 units and 14 units respectively and a right angled triangle is formed.Find the side of the equilateral triangle.

4. ### Math ~CHECK MY ANSWER~

1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3

1. ### Math

1. Estimate The Value Of (Square Root 52) to the nearest whole number A. 9 B. 8 C. 7~~~ D. 6 2. Identify all the sets to which the number 3.1214122144 Belongs A. Rational B. Irrational~~~ C. integer, Rational D. Whole Number,

2. ### math

The altitude of an equilateral triangle is 6 square 3 units long. The length of one side of the triangle is ____ units.

3. ### geometry

A segment that is a units long makes a C-degree angle with a segment that is b units long. In terms of a, b, and C, find the third side of the triangle defined by this SAS description. You have done numerical versions of this

4. ### math

1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? a. Square root 120 , n , Square root 3

1. ### Math

In the figure below, points A, B, and C are collinear, and AB and BC are each 6 units long. If the area of ACD is 24 square units, how many units long is the altitude BD? A. 2 B. 4 C. 6 D. 8 E. 12

2. ### Math

A square has an area of 27 square units. If the perimeter of the square is equal to the perimeter of an equilateral triangle, find the area of the equilateral triangle.

3. ### Calculus

A wire 60 cm long is to be cut into two pieces. One of the pieces will be bent into the shape of a square and the other into the shape of an equilateral triangle, as shown in the diagram below: a diagram showing a 60 cm wire cut

4. ### Calculus

A rectangle is bounded by the x axis and the semicircle = square root 25-x^2. What length and width should the rectangle have so that its area is a maximum? When I worked the problem out(which is a bit detailed). I started with y