Table of Contents
- 1 How do you find the altitude of the side of an equilateral triangle?
- 2 What is the length of the altitude of an equilateral triangle with side 2a cm?
- 3 What is the area of equilateral?
- 4 What is the altitude of an equilateral triangle of side 8 cm?
- 5 What is the area of the equilateral triangle with side?
- 6 How does an equilateral triangle prove that altitude is a root?
- 7 What is the perimeter of an equilateral triangle whose area is 12 cm?
How do you find the altitude of the side of an equilateral triangle?
Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° Sides of Equilateral Triangle: a = b = c.
What is the length of the altitude of an equilateral triangle with side 2a cm?
Hence, the length of the altitude of an equilateral triangle of side 2a cm is √3a cm.
How do you find the area of a equilateral triangle with just the height?
The area of each 30–60–90 triangle is base X height/2. This is h/sq root 3 x h/2. The area of the equilateral triangle then is twice this area, which is h^2/sq root 3. So to find the area of an equilateral triangle with only its height one must square the height and divide by sq root 3.
What is the length of the altitude of an equilateral triangle with side a?
Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as $\dfrac{\sqrt{3}a}{2}$ thus option b) is the correct answer.
What is the area of equilateral?
In general, the height of an equilateral triangle is equal to √3 / 2 times a side of the equilateral triangle. The area of an equilateral triangle is equal to 1/2 * √3s/ 2 * s = √3s2/4.
What is the altitude of an equilateral triangle of side 8 cm?
4√3 cm
The altitude of an equilateral triangle of side 8 cm is 4√3 cm.
What is the area of an equilateral triangle with a height of 9?
27√3 square inches
Answer: The area of an equilateral triangle with a height of 9 inches is equal to 27√3 square inches.
What is the altitude of an equilateral triangle of 8 cm?
What is the area of the equilateral triangle with side?
A= \frac{\sqrt{3}a^2}{4}
| A | Area of Equilateral triangle |
|---|---|
| a | Side length |
How does an equilateral triangle prove that altitude is a root?
In an equilateral triangle with side a prove that altitude is a root 3 ÷2 and area = root 3 a square ÷2? In Triangle ABC ,seg AD is an altitude. All sides are equal.
How to recalculate the area of an equilateral triangle?
The formula shown will recalculate the area using this method. When you know all three sides of a triangle, you can find the area using Heron’s Formula. But in the case of equilateral triangles, where all three sides are the same length, there is a simpler formula: where s is the length of any side of the triangle.
How to find the length of side of an equilateral triangle?
Step 1: Find the side of an equilateral triangle using perimeter. 3a = 12 a = 4 Thus, the length of side is 4 cm. Step 2: Find the area of an equilateral triangle using formula.
What is the perimeter of an equilateral triangle whose area is 12 cm?
The perimeter of an equilateral triangle is 3a. Question 1: Find the area of an equilateral triangle whose perimeter is 12 cm. As per formula: Perimeter of the equilateral triangle = 3a, where “a” is the side of the equilateral triangle. Step 1: Find the side of an equilateral triangle using perimeter. Thus, the length of side is 4 cm.