meganwintergirl
23.06.2019 •
Mathematics
Aright triangle has a leg with a length of 21 units and a hypotenuse with a length of 42 units. eunice states that because the hypotenuse is twice the length of the given leg, the right triangle is a 30-60-90 triangle. select all statements that are true. 1. the measure of the remaining leg is 21
units 2. the angle opposite the side with length 21 units measures 30° 3. the perimeter of the triangle is 84 units 4. eunice is not correct. it is a 45-45-90 triangle. 5. the measure of the remaining leg is 21 units. you! whoever answers correctly gets 15 points!
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Ответ:
1. The measure of the remaining leg is 21\sqrt{3} units
2. The angle opposite the side with length 21 units measures 30°
Step-by-step explanation:
The Pythagorean theorem tells you the remaining side length is ...
√(42² -21²) = 21√3 . . . . . matches the first statement, discounts statements 3 and 5
The angle opposite the 21-unit leg can be found from ...
angle = arcsin(21/42) = 30° . . . . . matches the second statement, discounts statement 4.
Ответ:
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