A 45-45-90 triangle is a special kind of right triangle, because it’s isosceles with two congruent sides and two congruent angles. Since it’s a right triangle, the length of the hypotenuse has to be greater than the length of each leg, so the congruent sides are the legs of the triangle.
Read MoreA 30-60-90 is a scalene triangle and each side has a different measure. Since it’s a right triangle, the sides touching the right angle are called the legs of the triangle, it has a long leg and a short leg, and the hypotenuse is the side across from the right angle. In this lesson we’ll look at how to solve for the side lengths of a 30-60-90 triangle.
Read MoreIn this lesson we’ll look at the triangle side splitting theorem and how it relates to solving for missing pieces of information in the triangles. A triangle can be split by a line segment at any spot in the triangle. As long as the segment touches two sides of the triangle, and is parallel to the side it doesn’t touch, then the segment splits the triangle proportionally.
Read MoreIn this lesson we’ll look at how to find the area of a triangle, which is equivalent to half of the product of the base and the height, A=(1/2)bh. The area is always in units of length^2 (“length squared”).
Read MoreThe isosceles triangle theorem says that if two sides of a triangle are congruent, then its base angles are congruent. The base angles are the angles that touch the non-congruent leg. If we know that a triangle has two congruent sides, then we know it’s isosceles, and if we know that two interior angles are congruent, then we know the triangle is isosceles.
Read MoreThe circumscribed circle of a triangle is centered at the circumcenter, which is where the perpendicular bisectors of all three sides meet each other. In contrast, the inscribed circle of a triangle is centered at the incenter, which is where the angle bisectors of all three angles meet each other.
Read MoreThe interior angles of a triangle are the three angles on the inside of a triangle. These three angles always sum to 180 degrees.
Read MorePythagorean theorem is a tool you’ll use all the time when you’re dealing with triangles, and you will always be dealing with triangles, no matter what math class you’re taking.
Read MoreYou’ve heard about similar triangles, but do you know what technically makes two triangles similar?
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