How To Find The Altitude Of A Triangle Given 3 Sides

Whereas the area can be calculated using the formula with a b c being the sides and s being abc2.

How to find the altitude of a triangle given 3 sides. As usual triangle sides are named a side bc b side ac and c side ab. If you are given area a and you want to calculate perimeter p then you need to make two steps to get the solution. Click now to check all equilateral triangle formulas here. Here is scalene g u d.

The diagram at the right shows when to use each of these formulas. Insert scalene g u d with g 1540 u 1480 d 1180. The above figure shows you an example of an altitude. Its using an equation called herons formulathat lets you calculate the area if given sides of the triangle.

How do i calculate the volume of a triangle. Let the sides of the triangle be a b and c. Every triangle has three altitudes one for each side. Altitude of a triangle to side c can be found as.

We can construct three different altitudes one from each vertex. In first step you apply formula which connects area a and side a and in. The altitudes to the sides are the heights used to find the area of the triangle. Area 025 a b c a b c a b c a b c.

Then once you know the area you can use the basic equation to find out what is the altitude of a triangle. For a triangle with sides ab and c and angles a b and c the three formulas are. If an altitude is drawn to the hypotenuse of a right triangle as shown in the above figure then. If you are given altitude h and you want to calculate side a then you need to use formula which connects h and a.

The height or altitude of a triangle depends on which base you use for a measurement. For an equilateral triangle all angles are equal to 600. It works exactly the same way on both sides of the big triangle. Note that the two equations in the third part of the theorem are really just one idea not two.

This formula gives the square on a side opposite an angle knowing the angle between the other two known sides. B 2 a 2 c 2 2ac cos b. It seems almost logical that something along the same lines could be used to find the area if you know the three altitudes. Where s an area of a triangle which can be found from three known sides using for example heros formula see calculator of area of a triangle using heros formula altitude of a triangle.

A 2 b 2 c 2 2bc cos a. The altitude of the triangle tells you exactly what youd expect the triangles height h measured from its peak straight down to the table. Altitude of an equilateral triangle formula. In triangle adb sin 600 hab we know ab bc ac s since all sides are equal sin 600 hs 32 hs h 32s altitude of an equilateral triangle h 32 s.

This height goes down to the base of the triangle thats flat on the table. C 2 a 2 b 2 2ab cos c.