To trisect a right angle, you first construct a(n) _____ triangle.A.obtuseB.equilateralC.scaleneD.isosceles right
Question
To trisect a right angle, you first construct a(n) _____ triangle.
A. obtuse
B. equilateral
C. scalene
D. isosceles right
Solution
To trisect a right angle, the correct answer is D. isosceles right triangle.
Explanation
When you trisect a right angle, you are dividing the angle, which measures , into three equal parts, each measuring . One effective method to achieve this is by constructing an isosceles right triangle.
An isosceles right triangle has two equal angles of and a right angle of . When you place this triangle in a way such that one of the equal angles is from the horizontal line, you can effectively create an angle of to use in further constructions.
The use of an isosceles right triangle provides a geometrical method to assist in the construction required for trisecting a right angle, as it establishes the necessary angles to achieve the trisection.
Thus, the answer is D. isosceles right triangle.
Similar Questions
A triangle has two 31° angles and one 118° angle. What kind of triangle is it?equilateralisosceles but not equilateralscaleneSubmit
12. A/an triangle has all three angles measuring less than 90°. A. acute B. scalene C. obtuse D. right
A triangle has angle measurements of 90°, 31°, and 59°. What kind of triangle is it?acuterightobtuseSubmit
A triangle has angle measurements of 79°, 90°, and 11°. What kind of triangle is it?acuterightobtuseSubmit
i draw an obtuse, iscosceles triangle with one of the angles measuring 25 degrees, what is the measure of the obtuse angle?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.