In trapezoid RSTV, R V ¯ | | S T ¯ , m ∠ S R V = 90 ° , and M and N are midpoints of the nonparallel sides. a) What type of triangle is Δ R M N ? b) If ST = 13, RV = 17 and RS = 16, How long is R N ¯ ? c) What type of triangle is Δ R V N ? [Hint: Use lengths of sides found in part (b)].
In trapezoid RSTV, R V ¯ | | S T ¯ , m ∠ S R V = 90 ° , and M and N are midpoints of the nonparallel sides. a) What type of triangle is Δ R M N ? b) If ST = 13, RV = 17 and RS = 16, How long is R N ¯ ? c) What type of triangle is Δ R V N ? [Hint: Use lengths of sides found in part (b)].
Solution Summary: The author explains that Delta RMN is a right angle triangle, and the median of the trapezoid RSTV is parallel to each base.
In trapezoid RSTV,
R
V
¯
|
|
S
T
¯
,
m
∠
S
R
V
=
90
°
, and M and N are midpoints of the nonparallel sides.
a) What type of triangle is
Δ
R
M
N
?
b) If ST = 13, RV = 17 and RS = 16, How long is
R
N
¯
?
c) What type of triangle is
Δ
R
V
N
?
[Hint: Use lengths of sides found in part (b)].
Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).
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