Answer:
17) x = 58.1 units
18) x = 17 units
Step-by-step explanation:
The concept of similar triangles will be applied.
It is evident that the AAA congruence property is responsible for the similarity of the two triangles in the 2 cases. The theorem is
- Triangles are similar if the measure of all three interior angles in one triangle are the same as the corresponding angles in the other.
So, the corresponding sides from the two triangles can be written as a ratio of one another
17)
The most obvious tell here is the largest angle in the two triangles, the sides directly opposite this angle in the two triangles can be written in a ratio such that
(95.2/13.6) = 7
indicating that the bigger triangle is exactly 7 times the smaller one.
So,
(95.2/13.6) = (53.2/7.6) = (x/8.3) = 7
x = 7 × 8.3 = 58.1
18)
The obvious tell here is the smallest common angle for the two triangles, the two other corresponding sides can then be written in a ratio, matching the bigger side in the two triangles to each other.
(39.5/7.9) = (37.5/7.5) = (x/3.4)
(x/3.4) = 5 (Indicating thay the bigger triangle is 5 times bigger than the smaller one.
x = 3.4 × 5 = 17 units.
Hope this Helps!!!
The anwser for this question is B
Step-by-step explanation:
Measure of each interior angle of 28 sided polygon
Answer: it would be a congruent triangle
Step-by-step explanation:
i have no idea but i got it right :)
Step-by-step explanation:
The sum of the interior angles of a triangle is equal to 180° so we can write
Solving for y, we get
So the other two angles of the triangle are
and
