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What is the altitude of a equilateral triangle if one side is 6 cm?
Wiki User
∙ 15y ago
An equilateral triangle has all 3 sides the same length.
To find the height of a triangle, draw a line from the tip top of the triangle to the middle of the base. You should see 2 triangles now inside your original triangle.
We can use Pythagoras' theorem to figure out the length of this line, the height. This theorem will only work with right triangles, which (luckily) we have just created by drawing the height line inside the triangle.
The P. theorem says that side squared + side squared = hypotenuse squared.
Our hypotenuse is the left or right side of the original triangle, 6 cm.
The line we drew down the center is one side, and HALF of the base is the other side for the P. theorem, since the height line of the triangle cuts the base exactly in half, and creates 2 right angles at the base. This line also creates 2 right triangles inside. This is why we can use the P. theorem to help us! But we'll only be using 1 of the inside triangles. (Even though, both are identical)
side squared + side squared = hyp. squared
(3 cm) squared + ??? squared = 6 squared
9 + ??? squared = 36
??? squared = 36 - 9
??? squared = 27
??? = sqrt(27)
We can simplify sqrt(27), or you can use a calculator to approximate it.
sqrt(27) = sqrt(9*3) = 3 * sqrt(3)
Wiki User
∙ 15y ago
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What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
An equilateral triangle has an area of 363 inches what is the length of one side?
12
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What is feet length of one side of equilateral triangle of three quarters of acre?
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The lenght of one side of an equilateral triangle is 10 cm find the altitude of the triangle?
The triangle's altitude is 8.7 (8.66025) cm.
What is the altitude of an equilateral triangle if one side is 12?
There is not enough information to answer the question.
What is the length of the altitude of the equilateral triangle?
The altitude of an equilateral triangle is (√3)/2*a. where 'a' is the side of the triangle. It can be just find by giving a perpendicular to the base of the triangle, the base of the triangle become a/2 and one side is a. so by applying Pythagoras theorem we will get the desired formula.
What is the length of the altitude of an equilateral triangle with sides of length 6?
The altitude forms a right angle triangle with half the side length and one side as the hypotenuse. Using Pythagoras: (½side)² + altitude² = side² → altitude² = side² - ¼side² → altitude² = ¾side² → altitude = (√3)/2 × side → altitude = (√3)/2 × 6 = 3√3 ≈ 5.2
What is the perimeter of an equilateral triangle with an altitude of 15?
An equilateral triangle has 3 equal interior angles each of 60 degrees. There are two right angled triangles in an equilateral triangle. So we can use trigonometry to find the length of one side of the equilateral triangle then multiply this by 3 to find its perimeter. Hypotenuse (which is one side of the equilateral) = 15/sin 60 degrees = 17.32050808 17.32050808 x 3 = 51.96152423 Perimeter = 51.96152423 units.
Find The altitude of an equilateral triangle if one of its sides measures 12cm?
Altitude = 10.4 (10.3923) cm
What is the altitude of an equilateral triangle if one side is 12 cm?
If one side of an equilateral triangle is 12 cm, then all sides are 12 cm and all angles are 60 degrees. An altitude dropped from any vertex in an equilateral triangle bisects the base, creating two identical Pythagorean triple triangles. Using our old friend the Pythagorean theorem we can calculate the altitude (= height) as follows"a2 + b2 = c62 + b2 = 12236 + b2 = 144b2 = 108b = 10.3923 cm.
The perimeter of an equilateral triangle is 32centimeters find the length of an altitude of the triagle to the nearest tenth of a centimeter?
Since an equilateral triangle has three congruent sides (and 3 congruent angles, each of 60⁰), the length of each side is 32/3 cm. If we draw one of the altitudes of the triangle, then a right triangle is formed where the side of a triangle is the hypotenuse, and the altitude is opposite to a 60 degrees angle. So we have, sin 60⁰ = altitude/(32/3 cm) (multiply by 32/3 cm to both sides) (32/3 cm)sin 60⁰ = altitude 9.2 cm = altitude
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)
How many symmetric line has the triangle?
The number of lines of symmetry of a triangle depends on what triangle you are talking about. An equilateral triangle has three lines of symmetry (one corresponding to each altitude). An isosceles triangle (that is not equilateral) has one line of symmetry. Other triangles have none.
Is an isosceles triangle sometimes always or never equilateral?
An isosceles triangle is one that has two sides of the same length and one side different An equilateral triangle is one that has all of its sides of equal length. All of the angles on an equilateral triangle are 60 degrees. A triangle with two sides 4cm and one side 100m would be an isosceles. But an equilateral triangle has all of the sides exactly the same so therefore an isosceles triangle can never ever be an equilateral triangle
The length of an equilateral triangle is 66 what it the length of one side of the triangle?
10
