height * base / 1/2.

The answer with the square root is an exact answer. Equilateral triangles are found in many other geometric constructs. Join. Thus, a = 2x and x = a/2. When do you use decimals and when do you use the answer with a square root. The intersection of circles whose centers are a radius width apart is a pair of equilateral arches, each of which can be inscribed with an equilateral triangle. Given the altitude of the equilateral triangle, find the side. Explanation: . If it's an equilateral triangle, that means all the sides are equal. The area is 4 times the height, but what is the height? The altitude of an equilateral triangle h, (1/2)*(sqrt(3))*(a) where a is the side length. Now, the side of the original equilateral triangle (lets call it "a") is the hypotenuse of the 30-60-90 triangle.

On standardized tests like the SAT they expect the exact answer. It is interesting to note that the altitude of an equilateral triangle bisects its base and the opposite angle. Find the altitude of an equilateral triangle whose each side is 8 cm Ask for details ; Follow Report by Dilemma 04.03.2018 we it is an equilateral triangle so it's angle is 60,divide the triangle into two parts and take one part for the calculation,(sin60=(height or altitude/4)) by doing this thing you will get altitude … Consider an equilateral triangle #Delta ABC#: The area of this triangle is #S=1/2*b*h# All its sides are given and equal to #8#: #a=b=c=8#, its altitude #h# is not given, but can be calculated. The decimal answer is …

A = angle A a = side a B = angle B b = side b C = angle C c = side c A = B = C = 60° a = b = c K = area P = perimeter s = semiperimeter h = altitude *Length units are for your reference only since the value of the resulting lengths will always be the same no matter what the units are. Side of a equilateral triangle= 8 cm. Start studying Area and Volume: geometry unit 8.
16 times square root of 3 here is why: area is 1/2 base multiplied by height. Let ABC be an equilateral triangle of side 8 cm i.e., AB = BC = CA = 8 cm. Area of the equilateral triangle= √3/4×a2 =(√3/4×8×8) sq.cm One of the most interesting and useful properties of an equilateral triangle is that its altitude, angle bisector and median from any of its vertices are coincident (they are the same line segment). If the length of a side of an equilateral triangle = 8√3, then the altitude bisects the base forming a right angled triangle. The altitude shown h is hb or, the altitude of b. Find the height of an equilateral triangle with side lengths of 8 cm. The side of the equilateral triangle is 2 cm. Draw altitude AD which is perpendicular to BC. Because the 30-60-90 triange is a special triangle, we know that the sides are x, x, and 2x, respectively. Equilateral Triangle Shape. I know that to find the area of a triangle, you do the . These triangles follow a side-length pattern. An equilateral triangle is a special case of a triangle where all 3 sides have equal length and all 3 angles are equal to 60 degrees. A triangle is a two-dimensional figure that has three sides and three vertices or corners. 8/2 = 4 4√3 = 6.928 cm. ... Find the area of a circle circumscribed about an equilateral triangle whose side is 18 inches long. 8 years ago. This can be proved using the concept of congruence of triangles. Let b be a side of the triangle (all sides are equal in measure) Altitude / Height = 5 cm Find the side: b = b = b = b = b = 5.78 cm B) Solve for the area: Area of triangle = Area = Area = Area ≈ 14.45 cm² ANSWER: The area is 14.45 cm². How can you find the height of an equilateral triangle having a side of 15 cm?

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We know that in an equilateral triangle all sides are equal. So 1/2 of 8=4 . Consider two … Then, D is the mid-point of BC. AREA=1/2BH TO FIND THE HEIGHT WE HAVE A RIGHT TRIANGLE WITH THE HYPOTENUSE=8 & ONE SIDE=4 8^2=4^2+X^2 WHERE X IS THE HEIGHT. The area of any triangle is this simple formula, 1/2*a*h = area. To find the height, we can draw an altitude to one of the sides in order to split the triangle into two equal 30-60-90 triangles. An altitude slices an equilateral triangle into two triangles. If from a point in the interior of an equilateral triangle, perpendiculars drawn to the three sides are 8 cm, 10cm, 11 cm … Thus, one of the legs of one of the right triangles is 1/2a, and the hypotenuse is a. 64=16+X^2 X^2=64-16

In order to find the area of the triangle, we must first calculate the height of its altitude. 0 0 0.

As the name suggests, ‘equi’ means Equal, an equilateral triangle is the one where all sides are equal and have an equal angle. Let the base of the altitude from vertex #B# to side #AC# be point #P#. Learn vocabulary, terms, and more with flashcards, ... Find the area of a triangle with base of 10 inches and altitude to the base of 16 inches. If you have any 1 known you can find the other 4 unknowns.

Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website! So if the sides are all 8 cm, every side is 8 cm.