a) one angle 40 degrees, one 60 degrees, and one 80 degrees
b) two sides 4 cm and a 90 degree angle
c) one side 3 cm, one side 4 cm, and the angle between them 45 degrees
d)one side 3 cm, one side 4 cm, and one angle 45 degrees (not between them)
2006-09-25 12:33:51 · 7 answers · asked by divinestine 2 in Science & Mathematics ➔ Mathematics
a) Infinite. With only the angles defined, and not the lengths of the sides there are an infinite number of triangles possible. Each one would have sides that are the same ratio, and fall into the category of "similar triangles".
b) One. A right triangle must adhere to the Pythagorean theorem. With two sides defined and equal, they must be the legs of the triangle and not the hypotenuse. If one were the hypotenuse and the other a leg, then the second leg would have to be zero to make Pythagorean work. That would not be a triangle, leaving only 1 possible solution.
c) One. When there are two defined lengths and the angle between them is known, there is only one solution.
d) Three. 1 obtuse triangle with the 45 degrees between 3 and the hypotenuse, 1 obtuse triangle with the 45 degrees between 4 and the hypotenuse, 1 acute triangle with the 4 as the hypotenuse and the 45 between it and the short leg. The combination where X is the hypotenuse and the 45 exist between the 3 and the hypotenuse cannot exist
2006-09-25 13:22:24 · answer #1 · answered by BrianW 3 · 0⤊ 0⤋
a. infinite (all will be similar triangles, but size can vary)
b. 1
c. 1
d. 3 - 1 with the 45 degree angle next to the short side, 2 with the 45 degree angle next to the long side
2006-09-25 12:41:23 · answer #2 · answered by Anonymous · 1⤊ 0⤋
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2016-10-17 23:27:31 · answer #3 · answered by comesana 4 · 0⤊ 0⤋
a. Infinite.
b. One.
c. One.
d. Two
2006-09-25 12:40:08 · answer #4 · answered by Dimos F 4 · 0⤊ 1⤋
I'm with Dimos on this one.
2006-09-25 12:50:44 · answer #5 · answered by MollyMAM 6 · 0⤊ 1⤋
could you work out the math problem you just answered on mine? thanks
2006-09-26 18:40:33 · answer #6 · answered by Sarah S 3 · 0⤊ 0⤋
a) 2
b) none
c) 2
d) none
2006-09-25 12:45:44 · answer #7 · answered by Paul 7 · 0⤊ 2⤋