Question

What is the measurement of m? 24 6

Answer 1

The value of n is 12. and m is 6root5

We have given the diagram,

The measurement of m,

n = 12

According to the altitude theorem

What is the altitude theorem?

The right triangle altitude theorem or geometric mean theorem is a result in elementary geometry that describes a relation between the altitude on the hypotenuse in a right triangle and the two-line segments it creates on the hypotenuse.

24/n = n/6

The Cross multiply

24 * 6 = n²

144 = n²

n² = 144

n = √144

n = 12

$m^2=6^2+n^2$

$m^2=6^2+12^2\\m^2=36+144\\m^2=180$

$m=\sqrt{180} \\m=2\cdot \:3\sqrt{5}\\m=6\sqrt{5}$

Hence the value of n is 12.

To learn more about the measurement visit:

brainly.com/question/25716982

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