When the hypotenuse, or longest side, and another side of two triangles are the same length, the triangles are congruent. Hypotenuse-Leg (HL): This theorem only applies to right triangles, or those with one 90 degree angle.Angle-Angle-Side (AAS): When two angles of one triangle are identical to two angles of another and one side of each of those triangles measures the same, you can bet they’re congruent.Angle-Side-Angle (ASA): If two angles and the side connecting them measure the same in two separate triangles, they’re congruent.Side-Angle-Side (SAS): If two sides of a triangle and the angle formed where those sides meet are identical to those of another triangle, the triangles are congruent.Side-Side-Side (SSS): If all three sides of two different triangles are the same, their angles will be as well, so they’re congruent.

Five Congruent Triangle Theorems have been created over the centuries, and you can use them to find out if two triangles are identical or draw a triangle that is congruent to one you already have on paper. It doesn’t matter if they’re flipped sideways, upside-down or mirror images of each other: they’ll still have the same measurements. Two triangles are considered congruent if their sides and angles are identical. You can also think of it as dividing b x h by two. Remember, always multiply the base by the height first. Then, if you continue to work through the problem to find the area, you’ll proceed through the following steps: When you insert those numbers into your area (A) equation, it looks like this: Say the base (b) of this example triangle is 72, and the height (h) is 50. The base is the bottom edge of the triangle, and the height is a vertical line running from the base to its opposite angle at 90 degrees. Your formula for finding the area is ½ of the base multiplied by the height, or ½ x b x h = A.

Geometry also gives us rules for finding the area of a triangle. The sum of the three angles must equal 180 degrees, so: In this triangle, you know one angle is 85 degrees, and the other is 65. You can use this fact to find the measurement of missing angles.

With any triangle, no matter which type it is, all three angles will add up to 180 degrees. Isosceles: Isosceles triangles have two equal sides and two equal angles.Scalene: With a scalene triangle, you’ll have no equal sides or angles.Equilateral: Equilateral triangles have three equal sides and three equal angles.Right: A right triangle has one 90 degree angle.Obtuse: Obtuse triangles have one angle measuring more than 90 degrees.Acute: In an acute triangle all three angles are less than 90 degrees.You’ll run across several different types, each one defined by its sides and/or angles. Though not all of them are the same, they all have to have those two elements in place in order to be a triangle. Triangles are two-dimensional shapes made up of three sides and three angles.

Whats an isosceles triangle