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SSC Selection Post 2020 PYQ — Question 54

SSC Selection Post - Graduation Level 2020 - 14 Dec 2020 - Shift 3 • Quantitative Aptitude • Q54

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If the lengths of three sides of a triangle are 10 cm, 24 cm, and 26 cm, then the length of the median to its greater side is equal to:

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Correct answer: A

Explanation

The correct answer is Option 1 i.e. 13 cm.

We know that

Median = 122a2+2b2−c2{1\over2}\sqrt{2a^2+2b^2-c^2}

here, c = 26, a = 10, and b = 24

Median = 122(10)2+2(24)2−(26)2{1\over2}\sqrt{2(10)^2+2(24)^2-(26)^2}

⇒ 12200+1152−676{1\over2}\sqrt{200+1152-676} = 12676{1\over2}\sqrt{676}

⇒ 12×26{1\over2} \times26 = 13 cm