Worksheet on Properties of Triangle

Practice the questions given in the worksheet on properties of triangle.

1. Fill in the banks:

(i) Triangle is formed by joining three ______________ points.

(ii) A point where two sides of a triangle meet is known as ______________ of a triangle.

(iii) Each angle of an equilateral triangle is of ______________ measure.

(iv) A ______________ triangle has one angle of 90°.

(v) A triangle has ______________ vertices and ______________ sides.

(vi) In an obtuse triangle, the remaining two angles are ______________

(vii) The sum of the measure of three angles of a triangle is ______________

(viii) A triangle whose two sides are of equal length is known as ______________ triangle.

2. Which of the following cannot be the measure of three angles of a triangle?

(i) ∠A = 60°, ∠B = 60°, ∠C = 60°

(ii) ∠A = 70°, ∠B = 20°, ∠C = 100°

(iii) ∠A = 90°, ∠B = 90°, ∠C = 90°

(iv) ∠A = 72°, ∠B = 30°, ∠C = 78°

3. Find the measure of the third angle of a triangle:

(i) ∠A = 60°, ∠B = 60°

(ii) ∠A = 70°, ∠B = 80°

(iii) ∠A = 90°, ∠B = 10°

(iv) ∠A = 95°, ∠B = 25°

4. Look at the triangle given below and answer the following:

(i) What is the measure of ∆ABC?

(ii) What type of triangle ∆ABC?

(iii) What type of triangle ∆PQR?

(vi) What type of triangle ∆LMN?

(v) What is the measure of ∠L?

Answers for the worksheet on properties of triangle are given below.

Answers

1. (i) non collinear

(ii) vertex

(iii) equal

(iv) right

(v) three, three

(vi) acute

(vii) 180°

(viii) isosceles triangle

2. (ii) (iii)

3. (i) 60°

(ii) 30°

(iii) 80°

(iv) 60°

4. (i) 70°

(ii) acute angled triangle

(iii) isosceles triangle

(vi) equilateral triangle

(v) 60°

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