The triangles below are similar. Find the value of x.
The first triangle has 14 on the right and left side and 18 on the bottom.
The second triangle has 7 on the right and left side and x on the bottom.
A. 9
B. 8
C. 10.5
D. 11
Is the answer B?
14 x 14 x 18
7 x 7 x ?
This must be a proportionate problem. The second triangle lengths are half the lengths of the first triangle. On the top, the greatest common factor is 2. Divide 14, 14, and 18 by 2. This should give the second triangle sides of 7, 7, and 9.
14/2 = 7
14/2 = 7
18/2 = 9
So, the answer is A, and not B.
I hope this helps! :)
You're welcome, Callie. :)
I had to research how to do proportionate problems, and it helped me quite a bit.
1.A 8:9
2.A 9:5
3.B $0.30
4.A 60km/h
5.D 27
6.B 10
7.D 40
8.B 2/3, 4/9
9.A 9
10.A 2:1
For future or current Connexus kids 10/10 correct
Thanks:)
Ah, triangles and their similarity, always getting into shape. Now, let's figure out the value of x, shall we?
In similar triangles, the corresponding sides are proportional. So, to find the value of x, we can set up a proportion. We'll compare the lengths of the corresponding sides of the triangles:
14/7 = 18/x
Now, let's do some super simple math and solve for x:
14x = 7 * 18
14x = 126
x = 126/14
x = 9
So, the value of x is indeed 9. It seems the answer is not B, but rather A. Keep up the good work!
To find the value of x, we can use the concept of similar triangles. Similar triangles have proportional side lengths.
In the first triangle, the ratio of the length of the right/left side to the length of the bottom side is 14/18.
In the second triangle, the ratio of the length of the right/left side to the length of the bottom side is 7/x.
Since the triangles are similar, these ratios must be equal.
Setting up the proportion:
14/18 = 7/x
To solve for x, we can cross-multiply:
14 * x = 7 * 18
Simplifying the equation:
14x = 126
Dividing both sides by 14:
x = 126 / 14
Simplifying further:
x = 9
So, the value of x is 9.
Therefore, the answer is A - 9.