Triangles MCQs with Answers

If $\sin(60^\circ + X) = \cos(30^\circ)$, then the value of $X$ is:

• A.$30^\circ$
• B.$45^\circ$
• C.$60^\circ$
• D.$90^\circ$

Past Paper MCQ

A ladder makes an angle of $60^\circ$ with the ground when placed against a wall. If the foot of the ladder is $2$ m away from the wall, then the length of the ladder (in meters) is:

• A.$2$ m
• B.$4$ m
• C.$2\sqrt{3}$ m
• D.$4\sqrt{3}$ m

A triangle with _ sides equal is called an isosceles triangle.

• A.$1$
• B.$2$
• C.$3$
• D.$0$

Sana's school is $9$ m to the north, and the market is $12$ m to the east of her home. The distance between the school and the market is _?

• A.$18$ m
• B.$21$ m
• C.$10$ m
• D.$15$ m

If $\triangle ABC$ and $\triangle PAR$ are similar triangles in which $\angle A = 50^\circ$, $\angle B = 80^\circ$, and $\angle P = 50^\circ$, then $\angle R$ is:

• A.$50^\circ$
• B.$80^\circ$
• C.$30^\circ$
• D.$60^\circ$

What is the sum of all interior angles in a triangle?

• A.$90^\circ$
• B.$180^\circ$
• C.$270^\circ$
• D.$360^\circ$

The formula for the area of an inscribed triangle (inside a circle) is:

• A.$\frac{ab+bc+ca}{4R}$
• B.$\frac{abc}{2R}$
• C.$\frac{abc}{R}$
• D.$\frac{abc}{4R}$

From the top of a hill $240$ m high, the angles of depression of the top and bottom of a minaret are $30^\circ$ and $60^\circ$ respectively. Find the height of the minaret.

• A.$200$ m
• B.$120$ m
• C.$80$ m
• D.$160$ m

The measures of two angles of a triangle are $36^\circ$ and $44^\circ$. What is the measure of the third angle of the triangle?

• A.$80^\circ$
• B.$90^\circ$
• C.$100^\circ$
• D.$110^\circ$

Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the top of the lighthouse observed from the ships are $30^\circ$ and $45^\circ$, respectively. If the lighthouse is $100$ m high, the distance between the two ships is:

• A.$200$ m
• B.$100(\sqrt{3} - 1)$ m
• C.$100\sqrt{3}$ m
• D.$100(\sqrt{3} + 1)$ m