Which one of these is NOT equivalent to 2/3? 1. 11/23 2. 12/18 3. 14/21 4. 6/9
1 answer:
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Answer:
Step-by-step explanation:
Consider right triangle ADH ( it is right triangle, because CH is the altitude). In this triangle, the hypotenuse AD = 8 cm and the leg DH = 4 cm. If the leg is half of the hypotenuse, then the opposite to this leg angle is equal to 30°.
By the Pythagorean theorem,
AL is angle A bisector, then angle A is 60°. Use the angle's bisector property:
Consider right triangle CAH.By the Pythagorean theorem,
The length cannot be negative, so CD=8 cm and
In right triangle ABC, angle B = 90° - 60° = 30°, leg AC is opposite to 30°, and the hypotenuse AB is twice the leg AC. Hence,
By the Pythagorean theorem,
