how to find the measure of the altitude of a triangle?
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You see, any side can be a base. From any one vertex, you can draw a line that is perpendicular to the opposite base — that's the altitude to this base. Any triangle has three altitudes and three bases. You can use any one altitude-base pair to find the area of the triangle, via the formula A=12bh.
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['Pick two points on the line and determine their coordinates.', 'Determine the difference in y-coordinates of these two points (rise).', 'Determine the difference in x-coordinates for these two points (run).', 'Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).']
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In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex).
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['Horizontal velocity component: Vx = V * cos(α)', 'Vertical velocity component: Vy = V * sin(α)', 'Time of flight: t = 2 * Vy / g.', 'Range of the projectile: R = 2 * Vx * Vy / g.', 'Maximum height: hmax = Vy² / (2 * g)']
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['The sine of the angle = the length of the opposite side. the length of the hypotenuse.', 'The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.', 'The tangent of the angle = the length of the opposite side. the length of the adjacent side.']
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To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.
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['The sum of the angles in a triangle always equal 180o. ... ', 'Squares have 4 equal sides and the sum of the angles always equals 360o. ... ', 'To find the measurement of the interior angles in a square, you divide the sum of the angles (360o) by the number of sides (4).']
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To find the perimeter of a triangle, add up the length of all three sides. . This will give you the height of your prism. So, the height of your prism is 68 centimeters.
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In a triangle, a line segment from a vertex and perpendicular to the opposite side is called an altitude. It is also called the height of a triangle. ... When a triangle is a right triangle, the altitude, or height, is the leg. If the triangle is obtuse, then the altitude will be outside of the triangle.
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Are the altitudes of a triangle equal? - Quora. (1) If all the three sides of a triangle are equal, all the three altitudes are equal.
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Find the slant height of the square pyramid. The slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the Pythagorean Theorem.
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In the case of a triangle, a common way to calculate its area is 'half of base times height' where the 'height' is the altitude, or the perpendicular distance from the base to the opposite vertex. ... Choose any convenient side to be the base. In an isosceles triangle, the base is usually taken to be the unequal side.
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['If you are given the length of the shortest leg (opposite the 30-degree angle,) simply multiply the leg length by 2 to find the length of the hypotenuse. ... ', 'If you are given the length of the longer leg (opposite the 60-degree angle,) multiply that length by 2/Sqrt(3) to find the length of the hypotenuse.']
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To find the height of a rhombus, use the formula height = area ÷ base. If you know the diagonals of a rhombus but not its area, use the formula area = (d1 x d2) ÷ 2, then apply the area to the first formula.
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To find the measure of the central angle of an equilateral triangle, make a circle in the middle... A circle is 360 degrees around... Divide that by three angles... So, the measure of the central angle of an equilateral triangle is 120 degrees.
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The angles of elevation and depression are usually measured by a device called Inclinometer or Clinometer. To solve height and distance problems, trigonometric ratios for standard angles (Table 1) should be remembered.
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Find the area of the base by using the following formula: base area = 1/2 × base side × height. Record this value. Measure all three sides of the triangular base and the height of the prism between its two bases.