Answer:
x = 5√2
y = 5√6
z = 5√3
ΔABC ~ ΔBDC ~ ΔADB
Step-by-step explanation:
ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.
By definition of similar triangles, the corresponding sides have the same ratios.
CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:
CD / BD = BD / AD
10 / x = x / 5
x² = 50
x = 5√2
Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:
CD² + BD² = BC²
10² + (5√2)² = y²
y² = 100 + 50 = 150
y = 5√6
Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:
AD² + BD² = AB²
5² + (5√2)² = z²
z² = 25 + 50 = 75
z = 5√3
Your answer is 10
<span>1. Length
</span><span>2. Height
</span><span>3. Depth
</span><span>4. Time
</span><span>5. Possible Worlds
</span><span>6. A Plane of All Possible Worlds With the Same Start Conditions
</span><span>7. A Plane of All Possible Worlds With Different Start Conditions
</span><span>8. A Plane of All Possible Worlds, Each With Different Start Conditions, Each Branching Out Infinitely
</span><span>9. All Possible Worlds, Starting With All Possible Start Conditions and Laws of Physics
</span><span>10. Infinite Possibilities</span>
Assuming that the figures given are square such that the scale factor between them is equal to 28/8 which can be further simplified into 7/2. The ratio of the perimeter is also equal to this value, 7/2. However, the ratio of the areas is equal to the square of this value giving us an answer of 49/4.
