Question

Which kind of triangle CANNOT be constructed?

A. an isosceles triangle with an obtuse angle
B. an equilateral triangle with an acute angle
C. a scalene triangle with an acute angle
D. a right triangle with an obtuse angle

Answer 1

Answer: D

Explanation:

A right triangle must have one right angle and two acute angles that add up to one right triangle (complementary).

It is not possible for a right triangle to have an obtuse angle (greater than 90 degrees).

Be sure to check your class materials and make sure you understand all the terms in this problem, like 'isosceles', and 'scalene' and 'obtuse'.

You will undoubtedly see them again on a geometry test.

Hope this helps.