Practice Triangle Questions and Answers

Triangle Questions

Triangle questions are mathematical problems that involve the use of geometric principles and formulas related to triangles. These questions are important for competitive exam students as they test a student's ability to apply mathematical concepts to real-world problems related to geometry, trigonometry, and algebra.

Triangle questions in Competitive exams such as RBI Grade B, RBI Assistant, SEBI Grade A, IBPS SO, IBPS PO, IBPS Clerk, SBI PO, SBI Clerk, LIC AAO, SSC CGL, and SSC CHSL that can range from simple calculations of the area and perimeter of a triangle to more complex problems such as finding the length of one side or angle of a triangle. These problems can also involve the use of trigonometric functions and identities to solve problems related to distances, heights, and angles.

Example of Triangle Question MCQ

In a triangle ABC, the length of sides AB, BC, and AC are 3 cm, 4 cm, and 5 cm respectively. What is the measure of angle BAC in degrees?

A) 30°

B) 45°

C) 60°

D) 90°

Explanation:

To solve this problem, we can use the cosine rule, which states that:

c^2 = a^2 + b^2 - 2ab cos(C)

where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Substituting the values given in the problem, we get:

5^2 = 3^2 + 4^2 - 2(3)(4)cos(BAC)

25 = 9 + 16 - 24cos(BAC)

cos(BAC) = 1/2

BAC = 60°

Therefore, the answer is (C) 60°.

Problem Solving Tips

• Determine whether the triangle is a right triangle, an equilateral triangle, or an isosceles triangle. This can help you identify the appropriate formula or trigonometric function to use.
• Draw a diagram of the given problem, labeling the sides and angles of the triangle. This will help you visualize the problem and identify the relevant angles and sides.
• If the triangle is a right triangle, use the Pythagorean theorem to find the length of the missing side.
• If the problem involves finding the angles or sides of a non-right triangle, use the trigonometric functions such as sine, cosine, or tangent.
• Familiarize yourself with formulas related to triangles, such as the area formula, Heron's formula, the law of sines, and the law of cosines.