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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

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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 9090^\circ, into three equal parts, each measuring 3030^\circ. One effective method to achieve this is by constructing an isosceles right triangle.

An isosceles right triangle has two equal angles of 4545^\circ and a right angle of 9090^\circ. When you place this triangle in a way such that one of the equal angles is 3030^\circ from the horizontal line, you can effectively create an angle of 3030^\circ 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.

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