Help me please, Find a, b, and c.
2 answers:
Answer:
a =
b = 12
c =
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths .
A 30-60-90 right triangle has side lengths .
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length . Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to . This means
was multiplied by
. This means that side c is
.
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By applying the midpoint rule, the midpoint of line segment FB is equal to point L.
<h3>What is a number line?</h3>A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numerical values that are placed at equal intervals along its length.
By critically observing the number line (see attachment), we can logically deduce the following parameters:
- Point F is located at -2
- Point B is located at 8.
By applying the midpoint rule, the midpoint of line segment FB is given by:
Midpoint of FB = (-2 + 8)/2
Midpoint of FB = 6/2
Midpoint of FB = 3.
In conclusion, a point which corresponds to 3 on the number line is point L.
Read more on midpoint here: brainly.com/question/8512667
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