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An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.Which best describes the range of possible values for the third side of the triangle?
A
x 18.9B
12.5 < x < 18.9C
x 26D
6 < x < 2622
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Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
A
The triangle is acute because 22 + 52 > 42.B
The triangle is acute because 2 + 4 > 5.C
The triangle is not acute because 22 + 42 < 52.D
The triangle is not acute because 22 < 42 + 52.23
Triangle A B C is shown. Lines are drawn from each point to the opposite side and intersect at point D.
A
Point D can be the orthocenter because it is the point of intersection of three segments coming from the vertices of the triangle.B
Point D can be the orthocenter because each vertex angle appears to be bisected.C
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located outside the triangle.D
Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located on the perimeter of the triangle.24
Point Y is the circumcenter of triangle DEF.
A
Point Y is the center of the circle that passes through points D, F, and N.B
Point Y is the center of the circle that passes through points M, N, and E.C
Point Y is the center of the circle that passes through points L, M, and N.D
Point Y is the center of the circle that passes through points D, E, and F.Did you find these answers helpful?
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