Answer:
obtuse
Step-by-step explanation:
A "form factor" can be computed whose sign will tell you the classification of the triangle. For short sides a, b and long side c, the form factor is ...
f = a² +b² -c²
And the interpretation is ...
- f > 0 . . . acute
- f = 0 . . . right
- f < 0 . . . obtuse
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<h3>form factor</h3>
For the given side lengths, the form factor is ...
f = 11² +15² -20² = 121 +225 -400
f = -54
<h3>interpretation</h3>
The value is less than zero, signifying an obtuse triangle.
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<em>Additional comment</em>
The value f/(2ab) = -54/(2·11·15) = -9/55 is the cosine of the largest angle. Here, the largest angle is arccos(-9/55) ≈ 99.4°. This is greater than 90°, hence an obtuse angle.
This cosine relation comes from the Law of Cosines. The interpretation of the "form factor" can be developed by considering the Pythagorean theorem (f=0 ⇒ right triangle) and the relationship between sides and angles. If the longest side is longer than necessary for a right triangle, the largest angle will be greater than 90°.
Answer:
B. 45
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) they have same slope of 2 and are, therefore parallel.
Segment FG is on the line 2 x - y= -3
y = 2x + 3
Slope = 2
segment EH is on the line 2x - y = 1
-y = -2x +1
y = 2x - 1
Slope = 2
.20x=35
x=$175 total money to start
175-35(money she gave to Bill)=140 left
140/2=$70 spent 70 on books and has $70 left.
How would anyone know this