The triangles below are similar figures. Use a proportion to find the length of X.The longer triangle has 16 on the left side,6 on the bottom inside it says 120 degrees and at the top it says 25 degrees.The smaller triangle says x on the right, 5 on the bottom 120 degrees in the middle and 25 degrees on the top.
A.10 1/3
B. 13 1/3
C. 12
D. 15
Is the answer A?
I am lost without a figure, sorry.
They are obtuse scalene triangles
To find the length of X in the smaller triangle, we can set up a proportion based on the given information.
First, let's focus on the angles. Since the triangles are similar, the corresponding angles are equal. Both triangles have a 120-degree angle and a 25-degree angle at the top.
Now, let's consider the sides. In the larger triangle, we are given that the length of the left side is 16 units and the length of the bottom side is 6 units. In the smaller triangle, we need to find the length of X.
To set up the proportion, we can compare the corresponding sides of the two triangles.
We have:
(Length of left side in larger triangle) / (Length of bottom side in larger triangle) = (Length of X in smaller triangle) / (Length of bottom side in smaller triangle)
Substituting the values we know:
16 / 6 = X / 5
Now, we can solve for X by cross-multiplying:
16 * 5 = 6X
80 = 6X
X = 80 / 6
X ≈ 13.33
So, the length of X in the smaller triangle is approximately 13.33 units.
Therefore, the answer is B) 13 1/3.