Height of a Triangle

How to Find the Height of a Triangle

To calculate the area of ​​a triangle, you need to know the height of your length. Follow these instructions to find the height. You must have at least one base to find the height. The height of a triangle is the length of a side source and a perpendicular longitudinal segment intersecting the perpendicular opposite angles. In parallel triangles, each height line divides in half in one direction and also a bisector in opposite angles. Each side of the triangle can have a base and from each vertex, you can draw a vertical line along the base - this is the height of the triangle. Each triangle has three heights, also called heights. Height drawing is known as height dropping at that vertex.

Height of a Triangle Calculation - Step By Step Method

How to Find the Height of a Triangle

1. Use base and region to find the height

Recall the formula for the triangle field. The formula for the field of a triangle is A = 1 / 2bh.
A = area of ​​the triangle
b = The length of the base of the triangle
h = height of the base of the triangle

Look at your triangle and determine which variable you know. You already know the region, so set it up You should also know the value of the length of one side; Set this value to "B". Any side of the triangle can be the base, regardless of how you draw the triangle. To visualize this, imagine rotating the triangle until the length of the known side is at the bottom. Example If you know that the area of ​​a triangle is 20, and 4 on one side, then:
A = 20 and B = 4.

Plug your values ​​into the equation A = 1 / 2bh and do the math. First multiply base (b) by 1/2, then divide by area (a). The resulting value will be the height of your triangle!
Plug the numbers into the equations 20 = 1/2 (4) h.
Multiply 20 = 2 hours 4 by 1/2.
Divide by 10 = hour 2 to find the height value.

2. Find the height of the parallelogram

Recall the properties of equivalent triangles. An isosceles triangle has three equal sides and three equal angles every 60 degrees. If you cut the equilateral triangle in half, you will end up with two congruent right triangles. In this example, we will use an equilateral triangle with a length of 8.

Remember the Pythagorean theorem. The Pythagorean theorem states that a and b are for right triangles with length dimensions and length hypotenuse c: a2 + b2 = c2. We can use this equation to find the height of our equilateral triangle!

Break the parallelogram in half and set the value of the variable with a, b and c. The hypotenuse city will be equal to the length of the main side. The side will be equal to 1/2 of the length of the side and the height of the side triangle which we need to solve. Our example uses parallel triangles along the sides of 8, C = 8, and a = 4.

Plug the values ​​into the Pythagorean theorem and solve for B2. Multiply each square by c and each number by itself. Then subtract A2 from C2.

Find the square root of B2 to get the height of your triangle! Squirt (2. The height of your right triangle to find the answer!
B = squirt (48) = 6.93

3. Determining height with angles and sides

Determine what variables you know. The height of the triangle can be found if you have 2 sides and angles on both sides. We will add triangles a, b, and c and angles, A, B, and C, if you have three sides, you will use the Heron formula and the triangle field formula. If you have two sides and one angle, you will use the formula for two angles and the given field on one side. A = 1/2 B (sin C)

Use Heron's formula if you have three aspects. Heron's formula has two parts. First you must find the variables that are equal to half the circumference of the triangle. This is done with the formula: s = (a + b + c) / 2.

Use two-way and one-angle formulas if you have sides and angles. Replace the formula field with the equivalent of the triangle formula field: 1 / 2bh. This gives you a formula that looks like 1 / 2bh = 1 / 2ab (sin C). This can be simplified to h = a (sin C), resulting in the removal of one of the side variables.

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