Question

23
in (\triangle mnp), (mn = 10), (np = 12), and (mp = 11). determine the largest angle of the
triangle.
(angle m)
(angle p)
cannot be determined from information given
(angle n)

Explanation:

Step1: Recall the triangle side - angle relationship

In a triangle, the larger side is opposite the larger angle.

Step2: Identify the longest side

Given \(MN = 10\), \(NP=12\), \(MP = 11\). The longest side is \(NP = 12\).

Step3: Determine the angle opposite the longest side

The angle opposite side \(NP\) is \(\angle M\) (since in \(\triangle MNP\), side \(NP\) is opposite \(\angle M\)).

Answer:

\(\angle M\)