1 A Area of the triangle b Length of the base of the triangle h Height of the base of the triangle 2 Look at your triangle and determine which variables you know. The formula for the area of a triangle is A1/2bh. One thing that should immediately jump to mind is that as we have shown, in an isosceles triangle, the height to the base bisects the base, so CD=DB=x/2.įinally, AD is the height, which means that the angle ∠ADC is a right angle, and we have a right triangle, ΔADC, whose hypotenuse we know (10) and can use to find the legs using the Pythagorean theorem, c 2 =a 2+b 2, Method 1 Using Base and Area to Find Height 1 Recall the formula for the area of a triangle. Let's review the properties of isosceles triangles. We probably need to use these two things to solve the problem. So the answer we are looking for is (base times height)/2, or x times 2x/3, divided by two.īut how do we find x? There are two additional things we were given in the problem which we haven't used yet- the length of the leg (10), and the fact that this is an isosceles triangle. Then we know the height, AD, is 2x/3, as given in the problem. Let's call the length of the base, BC, x. But, we are given the relationship between them, which is the hint on what we need to do.
We need to find the area of the triangle which we know is given by the formula (base times height)/2.Īn issue we have is that we don't know either the base length or the height. To solve this problem, We'll work backward from what we need to do. In an isosceles triangle, ΔABC, with leg length 10, the height to the base is equal to two-thirds of the base. of questions that will guide pupils from thinking only in numbers to thinking algebraically. Let's put into practice a number of the properties we've proven so far, in the following geometry problem: Problem Use to find the length of (correct to the nearest mm). Click hereto get an answer to your question Area of an isosceles triangle is given by the formula: a is side, h is height and b is base of the.
#Find height of isosceles triangle with only slant height how to
In this lesson, we will show an easy strategy for solving the following problem: how to find the area of an isosceles triangle.
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