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The lengths of three line segments (in cm) are given in each of the four cases. Which one of the following cases is not suitable to be the three sides of a triangle?

A) 2, 3, 4
B) 2, 3, 5
C) 2, 4. 5
D) 3, 4, 5

Correct Answer:


B) 2, 3, 5

Description for Correct answer:
We know that in any triangle â€œthe sum of two sides is always greater than its third sideâ€ and â€œthe difference of two sides is always less than its third sideâ€.

Part of solved Area and perimeter questions and answers : >> Elementary Mathematics >> Area and perimeter

Comments

Similar Questions

1). Find the perimeter of a triangle with sides equal to 6 cm, 4 cm and 5 cm.

A). 14 cm

B). 18 cm

C). 20 cm

D). 15 cm

2). The altitude of an equilateral triangle is \( \Large \sqrt{3} \)cm. What is its perimeter?

A). 3 cm

B). \( \Large 3\sqrt{3} \)cm

C). 6 cm

D). \( \Large 6\sqrt{3} \)cm

3). The area of a right angled triangle is 10 sq cm. If its perpendicular is equal to 20 cm, find its base.

A). 1 cm

B). 4 cm

C). 3 cm

D). 2 cm

4). The base of a triangular wall is 7 times its height. If the cost of painting the wall at Rs.350 per 100 sq m is Rs.1225, then what is the base length?

A). 50 m

B). 70 m

C). 75 m

D). 100 m

5). Find the length of the altitude of an equilateral triangle of side \( \Large 9\sqrt{3} \)cm.

A). 21 cm

B). 15.5 cm

C). 14 cm

D). 13.5 cm

6). The perimeter of an equilateral triangle is 90 cm. Find its area.

A). \( \Large 225\sqrt{3} \)sq cm

B). \( \Large 250\sqrt{3} \)sq cm

C). \( \Large 135\sqrt{3} \)sq cm

D). \( \Large 151\sqrt{3} \)sq cm

7). The perimeter of an isosceles triangle is 26 cm while equal sides together measure 20 cm. The third side and each of the equal sides are respectively.

A). 6 cm and 10 cm

B). 8 cm and 9 cm

C). 10 cm and 8 cm

D). 14 cm and 6 cm

8). The area of a right angled triangle is 24 \( \Large cm^{2} \) and one of the sides containing the right angle is 6 cm. The altitude on the hypotenuse Is

A). 3.6 cm

B). 4.8 cm

C). 5.2 cm

D). 12 cm

9). Two isosceles triangles have equal vertical angles and their corresponding sides are in the ratio of 3 : 7. What is the ratio of their areas?

A). 9 : 7

B). 2 : 1

C). 9 : 49

D). 7 : 9

10). The ratio between the length and the breadth of a rectangle is 2 : 1. If breadth is 5 cm less than the length, what will be the perimeter of the rectangle?

A). 30 cm

B). 25 cm

C). 35 cm

D). 40 cm