PQ // BC
then
Angle P = Angle B, A is common angle the two triangles are similar
AP/AB = AQ/AC
8/18 = 12/ AC
AC = 12 * 18/8 = 27 (your ans: D)
AQ + QC = AC
QC = AC - AQ = 27 - 12 = 15 (if it was required)
tan60 = y/8
y = s tan60 = 8sqrt(3) (B)
Next time, post each question separately.
Answer:
Yes, there are infinite triangles with the same three angles but different side lengths
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
therefore
There are infinite triangles with the same three angles but different side lengths
Answer:
<em>36:60:84</em>
<em>A : B : C</em>
<em>36° : 60° : 84°</em>
<em>A= 36°</em>
<em>B= 60°</em>
<em>C=84°</em>
Step-by-step explanation:
<em>3:5:7 =15</em>
<em>180÷15=12</em>
<em>3×12=36</em>
<em>36:x:y =180</em>
<em>5×12=60</em>
<em>36:60:y =180</em>
<em>7×12=84</em>
<em>36:60:84 =180</em>
Step-by-step explanation:
Using absolute value to tell wether the sum of two integers is positive or negative.
Suppose we have a positive integer,
x and a negative interger, -x and we want to find their sum, we take the absolute values of each of the integers, that is |x| and |-x|. Then we subtract these values: |x| - |-x|. If the larger integer is positive, the result of the difference is positive, but if the larger number is negative, the result of the difference is negative.
For any integer x, x + (-x) = 0
