The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is
a. 6
b. 5
c. 3
d. 4

Solution:

Given, the sides of a triangle are 10 cm, 6.5 cm and a cm

a is a whole number.

We have to find the minimum value of a.

Considering two smaller sides of the triangle and comparing it with the larger side,

Smaller sides of the given triangle are a cm and 6.5 cm

We know that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

So, a + 6.5 > 10

a > 10 - 6.5

a > 3.5

From the option,

a = 4 cm

Therefore, the minimum value of a is 4 cm.

✦ Try This: In a right-angled triangle, the angles other than the right angle can be obtuse. Justify your answer

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 6

NCERT Exemplar Class 7 Maths Chapter 6 Problem 1

The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is: a. 6, b. 5, c. 3, d. 4

Summary:

The sides of a triangle have lengths (in cm) 10, 6.5 and a, where a is a whole number. The minimum value that a can take is 4 cm

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