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!
Answer:
x<−3
Step-by-step explanation:
hope this works
Answer:
take angle U as reference angle
using sine rule
sin U=opposite/hypotenuse
sinU=42/42
sin U=1
sin 90=1
therefore the value of U is 90 degree
Step-by-step explanation:
Answer: It would take 40 minutes to mow a lawn with a mower containing 12-inch wide blades.
Step-by-step explanation:
The total money in august minus the total at the end of december (250)