Construct an altitude from one of the vertices. The altitude of a triangle is a
line from a vertex to the opposite side, that is perpendicular to that side, as
shown in the diagram at the right. The altitude is also the median of the
equilateral triangle. A median of a triangle is a line segment that joins a vertex
to the mid-point of the side that is opposite to that vertex.
a. What are the measures of the acute angles of the new triangle formed?
__________________________________________________________
b. Using the Pythagorean Theorem, what is the exact length of the altitude
(leg)? _____________________________________________________
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line from a vertex to the opposite side, that is perpendicular to that side, as
shown in the diagram at the right. The altitude is also the median of the
equilateral triangle. A median of a triangle is a line segment that joins a vertex
to the mid-point of the side that is opposite to that vertex.
a. What are the measures of the acute angles of the new triangle formed?
__________________________________________________________
b. Using the Pythagorean Theorem, what is the exact length of the altitude
(leg)? _____________________________________________________
need now asap
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1. An acute angle is an angle that measures less than 90 degrees. A triangle formed by all angles measuring less than 90° is also known as an acute triangle. For example, in an equilateral triangle, all three angles measure 60°,making it an acute triangle
2. Given angle and hypotenuse
Apply the law of sines or trigonometry to find the right triangle side lengths: a = c * sin(α) or a = c * cos(β)