C........................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer: option iii
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
Explanation:
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
First side is = 16.2 cm
Second side is = 16.2 cm
Third side = half of 16.2 = 8.1 cm
The perimeter of an isosceles triangle with congruent sides of 16.2 cm and a third side half that length is 16.2+16.2+8.1 = 40.5 cm
Answer:
- There are two solutions:
- B = 58.7°, C = 82.3°, c = 6.6 cm
- B = 121.3°, C = 19.7°, c = 2.2 cm
Step-by-step explanation:
You are given a side and its opposite angle (a, A), so the Law of Sines can be used to solve the triangle. The side given is the shorter of the two given sides, so it is likely there are two solutions. (If the given side is the longer of the two, there will always be only one solution.)
The Law of Sines tells you ...
a/sin(A) = b/sin(B) = c/sin(C)
Of course, the sum of angles in a triangle is 180°, so once you find angle B, you can use that fact to find angle C, thus side c.
The solution process finds angle B first:
B = arcsin(b/a·sin(A)) . . . . . . or the supplement of this value
then angle C:
C = 180° -A -B = 141° -B
finally, side c:
c = a·sin(C)/sin(A)
___
A triangle solver application for phone or tablet (or the one on your graphing calculator) can solve the triangle for you, or you can implement the above formulas in a spreadsheet (or even do them by hand). Of course, you need to pay attention to whether the functions involved give or take <em>radians</em> instead of <em>degrees</em>.
Answers and Step-by-step explanations:
16. Yes; we can see that AB || CD, so by definition of alternate angles, angles BAE and CDE are equal. In addition, angles AEB and CED are vertical angles, so by definition, they are congruent. Then by the AA Similarity Theorem, triangles AEB and CED are similar.
17. No; we see that KL = NO and that angles KLJ and NOM are congruent. However, there is no other indication (whether it's same angles or corresponding sides with the same ratio) that we can use to prove the two triangles are similar. So, these triangles are not similar.
18. Yes; we can see that ML || PO, so by definition of corresponding angles, angles NML and NPO are equal. In addition, we can obviously see that angles MNL and PNO are literally the same angle. So by AA Similarity Theorem, triangles MNL and PNO are similar.
Hope this helps!
Answer:
rational, please give 5 stars if helped. :)
Step-by-step explanation:
