Question : Possible lengths of the three sides of a triangle are:
Option 1: 2 cm, 3 cm, and 6 cm
Option 2: 3 cm, 4 cm, and 5 cm
Option 3: 2.5 cm, 3.5 cm, and 6 cm
Option 4: 4 cm, 4 cm, and 9 cm
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Correct Answer: 3 cm, 4 cm, and 5 cm
Solution : In a triangle, the sum of two sides is always greater than the third side. In option two 3 + 4 > 5 So, 3 cm, 4 cm, and 5 cm can be the sides of a triangle. Hence, the correct answer is '3 cm, 4 cm, and 5 cm'.
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Question : The three sides of a triangle are 5 cm, 9 cm, and x cm. The minimum integral value of x is:
Question : In a right-angled triangle, if the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3, the lengths of the sides are:
Question : The lengths of the three medians of a triangle are $9\;\mathrm{cm}$, $12\;\mathrm{cm}$, and $15\;\mathrm{cm}$. The area (in $\mathrm{cm^2}$) of the triangle is:
Question : Which of the set of three sides can't form a triangle?
Question : The inradius of a triangle is 6 cm, and the sum of the lengths of its sides is 50 cm. The area of the triangle (in sq. cm) is:
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