Study About Adjacent

Introduction to study about adjacent

Adjacent is an adjective meaning contiguous, adjoining or abutting. In geometry, adjacent is when sides meet to make an angle. In trigonometry the adjacent side of a right angled triangle is the cathetus next to the angle in question. In graph theory adjacent nodes in a graph are linked by an edge. (Source: From Wikipedia)

Here we are going to study about adjacent. I like to share this Adjacent Angles Definition with you all through my article.


Study about adjacent sides

Here we are going to study about adjacent sides of polygons. In a two dimensional shapes, like triangle, square or rectangle, two sides which share a common vertex and angle is called as adjacent sides.

If the adjacent sides of a polygon are in same length, then it is called as a square. In a rectangle, the adjacent sides are not equal but, opposite sides are equal. The angle between adjacent sides in a square and a rectangle is 90 degrees.

If the adjacent sides of a triangle are equal and it is called as an isosceles triangle.

Example problem

If the lengths of adjacent sides of a rectangle is x and x+5 meters respectively. The perimeter of the rectangle is 34 meter. Find the area of the rectangle.

Solution

The perimeter of the rectangle = 2(l + b)

Here the length and breadth of the rectangle is given by it's adjacent sides, x and x+5.

so, 34 = 2(x + x + 5)

34 = 2(2x + 5)

34 = 4x + 10

34 - 10 = 4x - 10

24 = 4x

x = 6

So, the adjacent sides of the rectangle are 6 and 11 meter respectively.

Area of the rectangle = lb square meter

= 6 * 11 square meter

= 66 square meter.

So the area of the given rectangle is 66 square meter. Understanding Find an Angle is always challenging for me but thanks to all math help websites to help me out.


Study about adjacent angles


Here we are going to study about adjacent angles.

Adjacent angles are nothing but, two are more angles which shares a common vertex.
If the sum of two adjacent angles is 90 degree, then the angles are called as complementary angles.
If the sum of two adjacent angles is 180 degree, then the angles are called as supplementary angles.
Example problem

If two adjacent angles are complement to each other, and one angle measures 48 degree, find another angle.

Solution

Given that the adjacent angles are complement, that is the sum of the adjacent angles is 90 degrees.

One angle measures 48 degree.

Measure of another angle = 90 - 48

= 42 degree.