The two sides of the triangle are 7 and 9, and the median to the third side is 4. Find the third side of the triangle.
| November 23, 2020 | education
a = 4, b = 9, m = 4, c-?
formula for finding the median:
m = root of (2a ^ 2 + 2b ^ 2-c ^ 2) / 2 – denominator without root
Expressing with ^ 2:
c ^ 2 = 2a ^ 2 + 2b ^ 2-4 * m ^ 2
c ^ 2 = 2 * 7 ^ 2 + 2 * 9 ^ 2-4 * 4 ^ 2 = 2 * 49 + 2 * 81-4 * 16 = 98 + 162-64 = 196
c = 14
Answer: 14.
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