Answer:
your answer should be 37:7
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 777 and 147 is 21
Divide both terms by the GCF, 21:
777 ÷ 21 = 37
147 ÷ 21 = 7
The ratio 777 : 147 can be reduced to lowest terms by dividing both terms by the GCF = 21 :
777 : 147 = 37 : 7
Therefore:
777 : 147 = 37 : 7
Yes, you are correct.
From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.
All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).
We can gather the following information from the given information.
- The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
- The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9
We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:
12/x = x/9
Using the cross product property gives us:
x² = 9 × 12
x² = 108
Taking the square root of both sides gives us:
x = √108
= 6 √3
Thus, your answer is correct. Great job!
Let me know if you need any clarifications, thanks!
