Yes, the altitude of a triangle is also referred to as the height of the triangle. Is the Altitude of a Triangle Same as the Height of a Triangle? Since it is perpendicular to the base of the triangle, it always makes a 90° with the base of the triangle. Yes, the altitude of a triangle is a perpendicular line segment drawn from a vertex of a triangle to the base or the side opposite to the vertex. Does the Altitude of a Triangle Always Make 90° With the Base of the Triangle? It bisects the base of the triangle and always lies inside the triangle. Because a pyramid has only one base, its total area is the sum of the lateral area and the area of its base. Figure 3 Finding the lateral area, total area, and volume of a square pyramid. The median of a triangle is the line segment drawn from the vertex to the opposite side that divides a triangle into two equal parts. Example 1: Find the lateral area of the square pyramid, shown in Figure 3. It can be located either outside or inside the triangle depending on the type of triangle. The altitude of a triangle is the perpendicular distance from the base to the opposite vertex. The altitude of a triangle and median are two different line segments drawn in a triangle. What is the Difference Between Median and Altitude of Triangle? \(h= \frac\), where 'h' is the altitude of the scalene triangle 's' is the semi-perimeter, which is half of the value of the perimeter, and 'a', 'b' and 'c' are three sides of the scalene triangle. The following section explains these formulas in detail. The important formulas for the altitude of a triangle are summed up in the following table. Let us learn how to find out the altitude of a scalene triangle, equilateral triangle, right triangle, and isosceles triangle. Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base. The basic formula to find the area of a triangle is: Area = 1/2 × base × height, where the height represents the altitude.
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