Question

Find the value of n in this equation.

Answer 1

Answer:

• D. 9

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Given

Triangle with:

• Base of n² -3,
• Midsegment of 39.

To find

• The value of n.

Solution

As per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.

So we have:

• (n² - 3)/2 = 39

Solve it for n:

• n² - 3 = 78
• n² = 81
• n = √81
• n = 9

Correct choice is D.