Question

For any triangle $△MNO$, match it with the correct type of triangle.

• A. An acute triangle
• B. An obtuse triangle
• C. A right triangle

Answer 1

For $△MNO$, given the various values of angles of the triangle.
Let's look at them one - by - one and determine the type of the triangle.
$A.\angle M<{90}^{\circ };\angle N<{90}^{\circ };\angle O<{90}^{\circ }$
Here, all the angles of the triangle are less than ${90}^{\circ }$.
Hence, the triangle is an acute triangle.

$B.\angle M<{90}^{\circ };\angle N={90}^{\circ };\angle O<{90}^{\circ }$
Here, $\angle N={90}^{\circ }$ and $\angle M,\angle O<{90}^{\circ }$.
Hence, the triangle is a right triangle.

$B.\angle M>{90}^{\circ };\angle N<{90}^{\circ };\angle O<{90}^{\circ }$
Here, $\angle M>{90}^{\circ }$ and $\angle N,\angle O<{90}^{\circ }$.
Hence, the triangle is an obtuse triangle.