Question

Answer ASAP.

Which angle and side combinations would make a scalene right triangle?


A. Sides: 68 cm, 68 cm, 97 cmAngles: 45°, 45°, 90°
B. Sides: 32 cm, 67 cm, 74 cmAngles: 26°, 64°, 90°
C. Sides: 20 cm, 62 cm, 76 cmAngles: 13°, 65°, 102°
D. Sides: 90 cm, 90 cm, 90 cmAngles: 60°, 60°, 60°

Answer 1

B

Explanation:

Answer 2

B. Angles 26°, 64°, 90°, hypotenuse 74

Explanation:

You want to know which combinations of dimensions form a scalene right triangle.

Right triangle

A right triangle has one angle that is 90°. (Eliminates choices C and D.)

Scalene triangle

All side lengths and angles are different from each other in a scalene triangle. (Eliminates choice A.)

Sides 32, 67, and 74 cm, and angles 26°, 64°, 90° will form a scalene right triangle.

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Additional comment

If more than one side is specified along with two or more angles, the triangle is "overspecified." That is, in all likelihood, the specifications are inconsistent with each other. In general, if the angles in a scalene triangle are integer numbers of degrees, the side lengths cannot be integer numbers of units. That is the case for the so-called right triangle here.

The given side lengths make the largest angle about 89.5°, not 90°. The given angles make the side lengths have irrational values.