Chapter 12.1, Problem 1E

To determine

To find: whether the right triangle is obtuse or not explain with reasoning.

Answer to Problem 1E

The right triangle cannot be obtuse.

Explanation of Solution

Given:

Right triangle an obtuse triangle.

Concept used:

Right triangle cannot be obtuse since, the angle in right triangle that are not right angles are acute and complementary.

Sum of the three angles of triangle is always ${180}^0$ .

If the triangle is right triangle then other two angles other than ${90}^0$ will be less than ${90}^0$ .

Calculation:

No, a right triangle cannot be obtuse since, the angle in right triangle that are not right angles are acute and complementary.

Therefore, it cannot be obtuse because, a right triangle has a ${90}^0$ .

Hence, the right triangle cannot be obtuse.