A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle
a = 12 ft ; b = 15 ft ; c = 20 ft
12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE
√369 = 19.21
20 - 19.21 = 0.79
<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>
If sinα=cosß it means that ß=90-α. This also means that α+ß=90 so we can say:
4k-22+6k-13=90
10k-35=90
10k=125
k=12.5°
...
The above identity comes up a lot, and is one worth committing to memory for sure.
sinα=cos(90-α) or vice versa cosα=sin(90-α)
Answer:
y = -3x + 3
Step-by-step explanation:
Slope = -3
y-intercept = 3
Substitute values into slope intercept form :
y=mx + b
Where :
m= Slope
b = y-intercept
441ft² (i believe this is the answer, idk though, i might be wrong sorry)
