Mathematics · Geometry & Mensuration · page 8 of 8

Triangles MCQs with Answers

Includes 12 past paper MCQs (marked).

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Triangles MCQs (71–77)

7 MCQs with answers and a short one-liner. Hide answers to test yourself.

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71.
What is the value of $\sin 45^\circ + \cos 45^\circ$?
Correct Answer: B. $\sqrt{2}$
One-liner
The value of $\sin 45^\circ + \cos 45^\circ$ is $\sqrt{2}$.
72.
What is the value of $\tan 45^\circ$?
Correct Answer: A. $1$
One-liner
The value of $\tan 45^\circ$ is $1$.
73.
Determine the total number of triangles present in the given figure.
Correct Answer: C. 16
One-liner
The total number of triangles in the given figure is 16.
74.
$\tan \theta$ is the ratio of:
Correct Answer: C. $\frac{p}{b}$
One-liner
$\tan \theta$ is defined as the ratio of perpendicular to base, i.e., $\frac{p}{b}$.
75.
Past Paper MCQ
A ladder makes an angle of $45^\circ$ with the ground when placed against a wall. If the foot of the ladder is $5$ m away from the wall, then the height of the wall is:
Correct Answer: D. $5$ m
One-liner
When the angle is $45^\circ$, the height of the wall equals the distance of the foot from the wall, so the height is $5$ m.
76.
Past Paper MCQ
The angles of a triangle are $(x-35)^\circ$, $(x-25)^\circ$, and $\left(\frac{1}{2}x - 10\right)^\circ$. Find the value of $x$.
Correct Answer: C. $100$
One-liner
The value of $x$ is $100$.
77.
Past Paper MCQ
The angle of elevation of the sun, when the length of the shadow of a tree is equal to the height of the tree, is?
Correct Answer: B. $45^\circ$
One-liner
The angle of elevation of the sun is $45^\circ$ when the shadow length equals the height of the object.