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What is the length of an altitude of an equilateral triangle whose side length is 8 square root of 3?
If the length of a side of an equilateral triangle = 8√3, then the altitude bisects the base
forming a right angled triangle. The side measuring 8√3 is the hypotenuse, the altitude (A) is one leg and half the base length is the second leg.
By Pythagoras, (8√3)2 = (4√3)2 + A2 : A2 = (64 x 3) - (16 x 3) = 48 x 3 = 144
Therefore the altitude, A = √144 = 12
What else can I help you with?
Find the length of the altitude of an equilateral triangle if one side has a length of 6cm?
Side = 6 cm 1/2 of the base = 3 cm Altitude = 3 times square-root of 3 = 5.196 cm (rounded)
Area of equilateral triangle?
To get the area of an equilateral triangle, you just need to know the length of one side. Multiply the length of one side by the square root of three and then divide the product by four, and you will get the area of the triangle.
An equilateral triangle has an area of 36 square root of 3. What is the length of one side?
12 in
What is the area of an equilateral triangle with side length three?
A triangle with side a: 3, side b: 3, and side c: 3 units has an area of 3.9 square units.
How do you find the perpendicular height of a isoceles triangle?
You can find it by using the Pythagorean theorem if you know the side and the base of triangle. In an isosceles triangle the median is also the altitude. The formula is: (The measure of the side length)^2 - (The measure of the one half of the base length )^2 = (The measure of the altitude)^2. Find the square root of the result that you'll have the measure of the altitude.
What is the area of an equilateral triangle whose altitude is 4?
It is double the length of the base, in square units.
What is the length of an altitude of an equilateral triangle with a side length of 9 inches?
Use Pythagoras' theorem: 92-4.52 = 60.75 and the square root of this is the altitude which is 7.794 inches to 3 d.p.
When a square is divided by diagonal is it called an equilateral triangle?
no but the diagonal divides the square into two equilateral triangles. An equilateral triangle is a triangle that has two sides of the same length
What is the length of an altitude of an equilateral triangle whose side length is 7 square root of 3?
Using Pythagoras' theorem it works out as 10.5 units of measurement
How do you find the height of an equalateral triangle?
To find the altitude or height of an equilateral triangle, take one-half of the length of a side of the triangle and multiple by "square root" of 3. So, if for example, the side has length 10, the height = 5 Square root of 3.
An equilateral triangle with side length 4 units?
It has a perimeter of 12 units, an area of 7 (6.9282) square units and an altitude of 3.5 (3.4641) units.
Find the length of the altitude of an equilateral triangle if one side has a length of 6cm?
Side = 6 cm 1/2 of the base = 3 cm Altitude = 3 times square-root of 3 = 5.196 cm (rounded)
A parallelogram that is not a square with all sides the same length?
an equilateral triangle;)
Surface area of an equilateral triangle?
0.4330 times the length of a side (in square units of length)
What is the legth of an altitude of an equilateral triangle whose side measures 6?
Using Pythagoras: 62+32 = 45 and the square root of this is the altitude
What is the lateral area of the right equilateral triangle prism?
It is the perimeter of a triangle times the length of the prism (in square units).
How do you calculate height of a equilateral triangle?
square root (3) * side length / 2
