To find h, we visualize the equilateral triangle as two smaller right triangles, where the hypotenuse is the same length as the side length b. We can use this to our advantage by once again, substituting the area formula: Base of an Equilateral TriangleĪll three sides of a triangle that is equilateral are the same length. Where the term a is the length of the two known sides of the isosceles that are equivalent. If you know the side length and height of a triangle that is isosceles, you can find the base of the triangle using this formula: How To Find the Base of an Isosceles Triangle Here, we flip the area formula and solve:ģ. The right angle means the height (an imaginary perpendicular line from the base) and the side of the triangle are one and the same. If you don't know the area but you know the length of the side of the triangle, you can safely use the area formula. If you know the length of the hypotenuse and the other side length as well, you can apply the Pythagorean Theorem in reverse: When it comes to finding the base for a right triangle, you can apply either the Pythagorean Theorem or the area formula depending on whether you know the lengths of two sides or only the area and height. If you know the area of a triangle and also the height of the triangle, you can apply the area formula in reverse to calculate the length of the base, using algebra to isolate the variable that you care about:Ģ. The formula for the area of a triangle is: How To Find the Base from the Area of a Triangle Here are a couple of the most common scenarios and methods: 1. Depending on whether you're studying the area of a triangle, the Pythagorean Theorem, or advanced trigonometry in your high school math class, there are many ways to find the base of a triangle.
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