![]() You can calculate the height of the center line using the Pythagorean Theorem, because half of an isosceles triangle is a right triangle. What is the Pythagorean Theorem?īut suppose you only know the lengths of the three sides, and not how long the center line is? No problem. Now it is easy to find the area of that rectangle if you know the height of the isosceles triangle and how wide the bottom is. Because each of these right triangles makes half of a rectangle, you can imagine moving one of them, turning it upside down, and putting it against the other one to make a rectangle. The line you drew down the middle is perpendicular to the bottom side of the triangle, so those two lines meet at right angles, forming two right triangles that are the same size. The problem-solving complexity focuses on exploring the kinds of cognitive work associated with geometric diagrams that students have to do when solving a GCN. ![]() In this definition, it is not stated that it has exactly two equal. An isosceles triangle is a triangle with two equal or congruent sides. Now you have two smaller triangles, but they’re exactly the same size, each half the area of the original triangle. Let us recall the definition of an isosceles triangle. You’ll notice that an isosceles triangle has bilateral symmetry – that will be useful. To find the area of an isosceles triangle, start by drawing a line down the middle, from the top point to the middle of the bottom side. ![]() According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite to the congruent sides are equal. Solution: According to the given figure, In XYZ, we see that XY XZ 12 cm. How to figure out the area of an isosceles triangle. Example 1: In the given figure below, find the value of x using the isosceles triangle theorem. ![]()
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