Find the missing angle measure. then classify the triangle by its angles and by its sides.
2 answers:
Answer:
Part a) The measure of the missing angle is
Part b) The triangle of the figure is a right triangle
Part c) The triangle of the figure is a scalene triangle
Step-by-step explanation:
we know that
The sum of the interior angles of a triangle is equal to
so
Let
x------> the missing angle
we know that
solve for x
The triangle of the figure is a right triangle --------> by its angles
Because the triangle has an angle measure of
The triangle of the figure is a scalene triangle --------> by its sides
Because the three angles and the three sides measures are different
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Step-by-step explanation:
Because the length of ST is calculated using pythagorean theorem:
Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:
Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.
Using that formula, you get that y = 17 and x = 8.
Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:
And finally, the correct answer is in fact 353.