Opposite and Adjacent Sides of a Right Triangle

Q. In the given right angled triangle ABC, the ratio $\frac{BC}{AB}$ is named as ____.

1. $sin{\theta }_1$
2. $cos{\theta }_1$
3. $cot{\theta }_1$
4. $cot{\theta }_2$

Q. For the given right-angled $△$ ABC, the side adjacent to ${\theta }_1$ is AB and the side adjacent to
${\theta }_2$ is BC.

1. False
2. True

Q. In the figure given below, what is the value of $tan\theta$ in terms of a, b and c?

1. $\frac{a}{b}$
2. $\frac{b}{c}$
3. $\frac{b}{a}$
4. $\frac{c}{a}$

Q. If $tan\theta =4/3$, show that $(sin\theta +cos\theta )=7/5$

Q.

In triangle ABC, right angled at B, if $\angle$A is made larger and larger till it becomes ${90}^{\circ }$, what can you say about AC and AB if BC = 1 unit?

1. 0, 1

2. 1 , 0

3. 1, 1

4. 0, 0

Q. In a $△ABC$, in which $\angle ={90}^o,\angle ABC={\theta }^o,BC=21$ units, $AB=29$ units, show that $(co{s}^2\theta -si{n}^2\theta )=\frac{41}{841}$

Q. For a right angled triangle, whose sides are named as a, b and c, the number of possible ratios of its sides are .

1. 3
2. 6
3. 8
4. 9

Q. If $\tan \theta =1$, then $\cos \theta$ will be:

1. $1$
2. $\frac{1}{2}$
3. $\frac{\sqrt{3}}{2}$
4. $\frac{1}{\sqrt{2}}$

Q.

In $\Delta ABC$ given below, AB = 10 cm, AC = 8 cm and $\angle A={45}^{\circ }$. The find the area of $\Delta ABC$.

1. $20c{m}^2$

2. $20\sqrt{2}c{m}^2$

3. $5\sqrt{2}c{m}^2$

4. $10\sqrt{2}c{m}^2$