how to find area of a triangle

There are three methods that can be used to discover the area of a triangle. Hence, the area of the triangle can be calculated using Heron's formula without height. To calculate the area of a triangle, start by measuring 1 side of the triangle to get the triangle's base. In short, to find the area of a triangle, all you need to do is take the area of a rectangle formula ($A=bh$) and divide it by 2. See how other students and parents are navigating high school, college, and the college admissions process. Step 1, Recall the formula for the area of a triangle. You can find the area of a triangle by multiplying the base by the height and then dividing that number by 2. You have to find the height of the triangle, which is the distance from one vertex to the opposite side. Example 1: Using the illustration above, take as given that b = 10 cm, c = 14 cm and α = 45°, and find the area of the triangle. How to Get the Area of a Triangle. The 5 Strategies You Must Be Using to Improve 160+ SAT Points, How to Get a Perfect 1600, by a Perfect Scorer, Free Complete Official SAT Practice Tests. To learn how to calculate the area of a triangle using the lengths of each side, read the article! If you make a second, identical triangle and fit the two copies together, it will either form a rectangle (two right triangles) or a parallelogram (two non-right triangles). Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. A triangle has an area of 24 square units. In this section, we will learn triangle definition, types of triangles, area of triangle formula, derivation, and how to find the area of a trainable along with examples in detail.. Triangle. To find the area of a triangle, you’ll need to use the following formula: A is the area, b is the base of the triangle (usually the bottom side), and h is the height (a straight perpendicular line drawn from the base to the highest point of the triangle). It’s pretty simple actually: all triangles can be inscribed in a rectangle. What ACT target score should you be aiming for? About the Book Author. To find the area of a rectangle or parallelogram, simply multiply base by height. Alternatively, divide the base by 2 and then multiply by the height or divide the height by 2 and then multiply by the base. You can further simplify the square root by factoring out 48 like this: $b=√{48}$$b=√{(3*4*4)}$$b=√{(3*4^2)}$$b=4√3$. Since we have the base already (8), we'll have to find the height. Now, we finally have the height of our equilateral triangle (4√3): All that’s left to do is plug the base (8) and height (4√3) into our area of triangle formula: $A=1/2bh$$A=1/2(8)(4√3)$$A=4(4√3)$$A=16√3$. To find the base, double the area, then divide by the height. In this section, we give you three tips to help you find the area of a triangle with ease. The figure below illustrates what base and height are. wikiHow is where trusted research and expert knowledge come together. If you’re struggling to understand how to find the area of a triangle or when and how to use the Pythagorean theorem, I strongly recommend watching some math tutorial videos. The area of this equilateral triangle is 16√3 square units. If an equilateral triangle has an x for all sides, what is the area? Numerous other formulas exist, however, for finding the area of a triangle, depending on what information you know. You should also know the value of one side length; assign … By using this service, some information may be shared with YouTube. Getting ready to take the SAT/ACT? Mary Jane Sterling is the author of Algebra I For Dummies and many other For Dummies titles. How do I calculate the height of a triangle if I know the area and the base? Problem 3. Heron's formula can be used to find the area of a triangle when the length of the 3 sides of the triangle are known. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/43\/Calculate-the-Area-of-a-Triangle-Step-1-Version-5.jpg\/v4-460px-Calculate-the-Area-of-a-Triangle-Step-1-Version-5.jpg","bigUrl":"\/images\/thumb\/4\/43\/Calculate-the-Area-of-a-Triangle-Step-1-Version-5.jpg\/aid278836-v4-728px-Calculate-the-Area-of-a-Triangle-Step-1-Version-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"