The side opposite the right angle of a right triangle is called the hypotenuse. Right angles are typically denoted by a square drawn at the vertex of the angle that is a right angle. So each of these 4 triangles has an area of /2, or diagonal 1 x diagonal 2/8.īut we have four of these in the rhombus, so the area of the rhombus is, as we have seen elsewhere, the half product of its diagonals.Īs you can see, this was a simple but useful application of the formula for finding the area of a right triangle. A right triangle is a triangle in which one angle has a measurement of 90 (a right angle ), such as the triangle shown below. We also know that the diagonals bisect each other. We know that in a rhombus, the diagonals are perpendicular to each other, partitioning the rhombus into 4 right triangles. Let's see a simple application of this - finding the area of a rhombus, given the lengths of its diagonals. So the area of a right triangle is simply the product of the two legs, divided by two: a The height to leg a is b, and vice verse, the height to leg b is side a. Now use the Leg Rule to find r (leg QP): r 2 260 × 80 20800. By definition, a right triangle has a 90° angle between its legs, so they are perpendicular to each other. The length RP RO + OP 180 cm + 80 cm 260 cm. This usually requires us to draw a line, called height or altitude, from one vertex of the triangle to the side opposite it, which is perpendicular to that side.īut in a right triangle, these lines already exist- they are the legs of the triangle. The general formula for the area of a triangle is the base times the height to that base, divided by two. Find a formula for its area using these sides. ΔABC is a right triangle with legs a and b, and hypotenuse c. This post will be a short and simple but very useful application of the general formula for finding the area of a triangle, to the specific case of a right triangle.
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