Question

if the sides of a triangle are 5,6,10 then the length of the median of the biggest side
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Answer 1

Given: The sides of a triangle are 5,6,10.

To find: We have to find the length of the median of the biggest side.

Solution:

The given three sides of the triangle are 5,6,10.

Let a=5, b=6 and c=10 units.

The biggest side is 10.

To determine the length of the median of the biggest side we have to use the below formula-

$\frac{1}{2} \sqrt{2 \times {a}^{2} + 2 \times {b}^{2} - {c}^{2} }$

Here we know the values of a, b and c. So, putting the value of the three sides of the triangle in the above equation we get-

$\frac{1}{2} ( \sqrt{2 \times {5}^{2} + 2 \times {6}^{2} - {10}^{2} } \\ \frac{1}{2} ( \sqrt{2 \times 25 + 2 \times 36 - 100} \\ \frac{1}{2} \sqrt{50 + 72 - 100} \\ \frac{ \sqrt{22} }{2} = 2.35$

Thus, the length of the median of the biggest side is 2.35 units.

Answer 2

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Step-by-step explanation:

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