Which side lengths represent the sides of a right triangle? A) 1, 1, 2 B) 2, 3, 5 C) 8, 6, 10 D) 12, 16, 21
2 answers:
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Answer:
See explanation
Step-by-step explanation:
Theorem 1: The length of the altitude to the hypotenuse of a right triangle is the geometric mean of the lengths of the segments of the hypotenuse.
Theorem 2: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
1. Start point: By the 1st theorem,
2. South-East point from the Start: By the 2nd theorem,
3. West point from the previous: By the 2nd theorem,
4. West point from the previous: By the 1st theorem,
5. West point from the previous: By the 2nd theorem,
6. North point from the previous: By the 1st theorem,
7. East point from the previous: By the 2nd theorem,
8. North point from the previous: By the 1st theorem,
8. West point from the previous: By the 2nd theorem,
9. North point from the previous: By the 1st theorem,
101. East point from the previous: By the 1st theorem,
11. East point from the previous: By the 2nd theorem,
12. South-east point from the previous: By the 2nd theorem,
13. North point=The end.