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The height of an equilateral triangle is √3/2 x side_length.
So for an equilateral triangle of side length 2a, the area is:
area = 1/2 x base x height
1/2 x (2a) x (√3/2 x 2a)
= √3 a2
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∙ 12y ago
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How do you find the hieght of a triangle?
h=2A/b h=heightb=baseA=area
What is the volume of a pyramid of height 10 cm when the base is an equilateral triangle with sides of length 12 cm?
The rule for the volume of a pyramid is:V = 1/3 x Area of base x HeightSo first, we'll find the area of the base.The rule for the Area of a triangle isA = [bcSin(theta)]/2 (you can also use A = 1/2 x base x height.. but that's slower in this case)We know all that it is an equilateral triangle, and because a triangle must have 180 degrees all together, we know that each angle must be 60 degrees.So now we will find the areaA = [bcSin(theta)]/2b and c are both 7, and the angle is 60 degrees so substitute that inA = [7x7sin(60)]/2A = 21.218cm^2Now we know the Area and the Height, so we can find the volume.V = 1/3 x Area of base x HeightSubstitute in our value of 21.218cm^2 for Area and 10cm for heightV = 1/3 x 21.218 x 10V = 70.727 cm^3
Solve P equals 2a plus b for b?
Subtract 2a from each side: P - 2a = b ie b = P - 2a
Leg XY of a right triangle is twice as long as leg YZ If the area of the triangle is 36cm squared what ist he length in cm of leg XY?
xy times yz divided by two is the area.2a*a/2 is the area 36a^2=36a=6xy is 12.CHECK:6*12=72half of 72 is 36. Yeah!
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Start with simplifying: 2a + -3 = 5 and reordering: -3 + 2a = 5. Then add '3' to each side of the equation: -3 + 3 + 2a = 5 + 3 and you get 2a = 8 once all like terms are combined. The last step is to divide both sides by 2 and you get the answer, which is a = 4.
What is the area of a triangle if the base is 5 and the area is 3?
The question already has the answer. If the area is 3, then you've already answered the question.If you meant the triangle had a base of 5 and a height of 3:A = base * height / 2A = 3 * 5 / 2A = 15 / 2A = 7.5
How do you find the hieght of a triangle?
h=2A/b h=heightb=baseA=area
If RA equals 2a cm What is the area of square YRAM?
One side of the square, RA, is 2a cm. So the area of the square is (2a)2 = 4a2 cm2
How do you fine the height in the area formula of a triangle?
To find the height using the formula for Area of a triangle (a = bh/2): A = bh/2 (next, multiply both sides by 2) 2A = bh (then, divide both sides by b) 2A/b = h (this is your answer)
How do you find the base of a triangle when the height is 2 ft and the area is 3ft squared?
Area of a triangle = b x h/2, where b is the base and h is height. To solve for b, manipulate the formula to b = 2A/h, where A is the area. b = 2A/h = 2(3ft2)/2ft = 3ft
What is a Euler Line?
Euler's line is the line that, inside of a triangle that isn't equilateral, contains the orthocenter, the circumcenter, the centroid, and the center of the nine-point circle
How do you find the height of a triangle given the area and a portion of the base?
If A = (b x h) ÷ 2, then h = 2A ÷ b, where A is the area of a triangle, b is the length of its base, and h is its height.
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Area of a square = A = 2S, 1/2A = S A = 4, 1/2A = 2 S = 2 Each side is 2 m long
If the length of a square is doubled how is the area affected?
The Area of a square can be written as it's side length^2, orA = s^2if the side length is doubled, then s' is 2s.A' = (s')^2A' = (2s)^2A' = 4s^2 = 4*AWhen the side length is doubled, the area increases by a factor of 4
How do you fing the height of a triangle with the givin area?
Well for a triangle A= (1/2)•B•H I'm assuming they gave you the base measurement. So you want to get H alone. You'd first move the (1/2) by manipulating the equation. Multiply each side by 2. So 2A=B•H. Then, you manipulate the equation further to get H alone so that you can find the height. Divide each side by B. So (2A)/B = H.
What is the answer to 2a equals 8 plus 4a What is the value for a?
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2a + 21 = 8a - 9Add 9 to each side:2a + 30 = 8aSubtract 2a from each side:30 = 6aDivide each side by 6:5 = a
