Question 35

If the length of two sides of a triangle are 6 cm and 10 cm, then the length of the third side can be

a) 3 cm
b) 4 cm
c) 2 cm
d) 6 cm

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Solution

As we know, sum of any two sides of a triangle is always greater than the third side. So, option (d) satisfy this rule
Verification 6 + 6 > 10
6 + 10 > 6
10 + 6 > 6

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Draw the circumcircle of a triangle with sides 6 cm, 8 cm and 10 cm. What is the radius of this circle?

6 c m

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△ A B C

A B = 4 c m

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∠ B = 70^{\circ}

Question 36

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , BC = 3 cm and AC = 5 cm, then the length of side AB is

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

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