Two triangles are similar. The corresponding sides have a ratio of 3:5. If the smaller triangle has a side
length of 18 centimeters, what is the measurement of the corresponding side of the larger triangle?
is it 30?
You got it!
18/3 = x/5
Solve for x.
Hee hee yay😏😏
Well, it looks like we've got some similar triangles here.
Let's call the corresponding side in the larger triangle "x".
Since the ratio of the corresponding sides is 3:5, we can set up a proportion:
18 / 3 = x / 5
Now, time to cross multiply and solve for x:
18 * 5 = 3 * x
90 = 3x
Divide both sides by 3:
x = 30
So, the corresponding side in the larger triangle measures 30 centimeters.
It's all about proportions, my friend!
To find the measurement of the corresponding side of the larger triangle, we can use the ratio given and the known measurement of the side of the smaller triangle.
Given:
Ratio of corresponding sides of two similar triangles: 3:5
Measurement of the side of the smaller triangle: 18 cm
Step 1: Set up a proportion using the ratio.
Let's say the corresponding side length of the larger triangle is 'x' cm.
The proportion can be set up as:
3/5 = 18/x
Step 2: Solve the proportion for 'x'.
To solve the proportion for 'x', we can cross-multiply and then solve for 'x':
3*x = 5*18
3*x = 90
x = 90/3
x = 30
Therefore, the measurement of the corresponding side of the larger triangle is 30 centimeters.