In the worksheet on triangle we will solve 12 different types of questions.
1. Take three non  collinear points L, M, N. Join LM, MN and NL. What figure do you get?
Name:
(a)The side opposite to ∠L.
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(b) The angle opposite to side LN.
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(c) The vertex opposite to side MN.
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(d) The side opposite to angle N.
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2. Classify the triangle into acute triangle, obtuse triangle and right triangle with the following angles:
(a) 90°, 45°, 45°
(b) 60°, 60°, 60°
(c) 80°, 60°, 40°
(d) 130°, 40°, 10°
(e) 90°, 35°, 55°
(f) 92°, 38°, 50°
3. Classify the triangle according to sides, that is, equilateral, isosceles and scalene triangles
(a) 6 cm, 3 cm, 5cm.
(b) 6 cm, 6 cm, 6 cm.
(c) 7 cm, 7 cm, 5 cm.
(d) 8 cm, 12 cm, 10 cm.
(e) 3 cm, 4 cm, 5 cm.
(f) 3.5 cm, 3.5 cm, 4.5 cm.
4. Is it possible to have a triangle with the following angles and sides? Give reason in support of your answer.
(a) 110°, 60°, 30°
(b) 70°, 70°, 70°
(c) 80°, 35°, 65°
(d) 7 cm, 3 cm, 4 cm.
(e) 50°, 50°, 90°
(f) 10 cm, 12 cm, 2 cm.
5. Find the perimeter of a triangle when its sides are:
(a) AB = 7.6 cm, BC = 4.5 cm, CA = 6.3 cm.
(b) PQ = 4.00, QR = 3 cm, RP = 5 cm.
(c) LM = 4.5 cm, MN = 3.6 cm, NL = 6.2 cm.
6. If in a triangle LMN:
(a) ∠L = 80°, ∠M = 50°, find ∠N,
(b) ∠M = 60°, ∠N = 60°, find ∠L,
(c) ∠M = 100°, ∠ N = 30°, find ∠ L,
(d) ∠N = 90°, ∠L = 45°, find ∠M.
Mention the kind of triangle also.
7. The angle of a triangle is in the ratio of 2: 3: 4. Find the measure of each angle of the triangle.
8. One of the two equal angles of an isosceles triangle measures 55°. Determine the other angles.
9. The perimeter of a triangle is 24 cm. Two of its sides are 8 cm and 9 cm. Find the length of its third side.
10. Each side of a ∆ is one third of its perimeter. What kind of triangle is this?
11. One of the acute angles of a right triangle is 48°. Find the other acute angle.
12. Say whether the following statements are true or false:
(a) All the angles of an isosceles triangle are equal.
(b) If one angle of a triangle is obtuse, the other two angles must be acute.
(c) A right triangle can be equilateral.
(d) Equiangular triangle has its three sides also equal.
(e) A triangle can have two obtuse angles.
Examples of Properties of Triangle
To Construct a Triangle whose Three Sides are given.
To Construct a Triangle when Two of its Sides and the included Angles are given.
To Construct a Triangle when Two of its Angles and the included Side are given.
To Construct a Right Triangle when its Hypotenuse and One Side are given.
Worksheet on Construction of Triangles.
5th Grade Geometry Page
5th Grade Math Problems
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