Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².
To convert a repeating decimal to a fraction, your goal is to g<span>et the numbers to the left of the decimal point to be the same</span>
Tan because sin is opp/hyp cos is adj/hyp and tan is opp/adj
34 is the opposite because it is across from the angle that needs to be found and 48 is the adjacent
We know that
with
scale factor 1=1 in/4 m
<span>the longer side of the ballroom-------> 44 m
scale factor= measure model/measure actual
measure model=scale factor*measure actual
</span>measure model=(1/4)*44------> 11 in
with
scale factor 2=1 in/7 m
measure actual=measure model/scale factor
measure actual=11/(1/7)-----> 77 m
the answer is
77 m
Answer:
1. One solution
2. Infinitely many solutions
3. No solution.