What is meant by adjacent sides?

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In mathematics and geometry, adjacent sides refer to sides that share a common endpoint or vertex. Adjacent sides can be found in various two-dimensional shapes, such as squares, rectangles, triangles, and polygons.

For example, in a square, each of the four sides is adjacent to the two sides it touches. In a rectangle, two sides that are opposite each other are referred to as "opposite sides," while the other two sides are considered to be adjacent. Any two sides that share a common vertex are considered to be adjacent sides in a triangle.

Adjacent sides play an important role in many geometric calculations and measurements, such as finding the perimeter of a shape, calculating the area, and determining the interior and exterior angles of a shape. By understanding the relationships between adjacent sides, it is possible to make more precise calculations and predictions about various shapes and figures.

Adjacent Sides

Adjacent Sides

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CBSE CLASS XII Related Questions

1.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

View Solution

2.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

\(0.35\)
\(0.85\)
\(0.5\)
\(0.21\)

View Solution

3.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

View Solution

4.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

\( -6 \) unit/sec
\( 0 \) unit/sec
\( 18 \) unit/sec
\( 6 \) unit/sec

View Solution

5.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

\(\frac{1}{2}\)
\(\frac{3}{5}\)
\(\frac{1}{5}\)
\(\frac{3}{10}\)

View Solution

6.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

View Solution

What is meant by adjacent sides?

CBSE CLASS XII Related Questions

1.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

2.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

3.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

4.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

5.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

6.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

Comments

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What is meant by adjacent sides?

CBSE CLASS XII Related Questions

1.Evaluate :\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

2.If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

3.If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

4.The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

5.For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

6.Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Evaluate :
\[ I = \int_{-\pi}^{\pi} \frac{2x\,(1+\sin x)}{1+\cos^2 x}\,dx \]

2.
If \(P(A) = 0.3\), \(P(B) = 0.7\) and \(P(B/A) = 0.5\), then \(P(A \cup B)\) is :

3.
If \(y = \sqrt{\log \left\{ \sin \left( \dfrac{x^2}{3} + 1 \right) \right\}}\), then show that
\[ \frac{dy}{dx} = \frac{x \cot \left( \dfrac{x^2}{3} + 1 \right)}{3y}. \]

4.
The motion of a particle is described as \( S = 2t^{3} - 6t^{2} + 8 \). Its velocity \( \frac{dS}{dt} \), when the acceleration \( \frac{d^{2}S}{dt^{2}} \) vanishes is :

5.
For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

6.
Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).