Ratio of Sides of Special Triangles

Q.

In $\Delta ABC,\angle A={50}^{\circ },BC=8cm.$ Find the circumdiameter of the triangle $[sin{50}^{\circ }=0.77]$

1. 12.54 cm

2. 10.38 cm

3. 11.4 cm

4. 9.8 cm

Q.

In $\Delta ABC,\angle A={60}^{\circ },BC=10cm.$ The circumdiameter of the triangle is $[sin{60}^{\circ }=0.87]$

1. 12.11 cm

2. 14.97 cm

3. 11.49 cm

4. 13.45 cm

Q.

In triangle $ABC,\angle A={130}^{\circ },BC=10cm$. The diameter of the circumcircle is $[sin{50}^{\circ }=0.76]$

1. 10.5 cm

2. 13.15 cm

3. 15.25 cm

4. 14.75 cm

Q.

In $\Delta ABC,\angle A={40}^{\circ },BC=8cm.$ Find the circumdiameter of the triangle. $[sin{40}^{\circ }=0.64]$

1. 14 cm

2. 10.5 cm

3. 15 cm

4. 12.5 cm

Q. In a $△ABC,\angle A={60}^{\circ },\angle B={30}^{\circ }and\angle C={90}^{\circ }.$

Then the ratio AC:BC:AB will be equal to ___.

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

Q.

If a triangle has angles ${45}^{\circ },{45}^{\circ }$, and ${90}^{\circ }$, what is the ratio of the sides of the triangle opposite to these angles respectively?

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

Q. A boy is looking at the top of a building which is 10 m high.
From the figure, the distance between the boy and the building will be .

1. 10 m
2. 20 m
3. 5 m
4. 25 m

Q. In the figure, the $\angle ABC=30°$. If $CB=18m$ , then AC = ________.

1. $9\sqrt{3}m$
2. $9m$
3. $3m$
4. $3\sqrt{3}m$

Q. In the given right triangle, the value of $\sin \theta$ is .

1. $\frac{3}{5}$
2. $\frac{5}{3}$
3. $\frac{4}{5}$
4. $\frac{3}{4}$

Q. If $\tan \theta =\frac{4}{3}$, what is the value of $\cos \theta$?

1. 0.6