Answer:
x ≈ 3.9
Step-by-step explanation:
Call the segment shared by the two triangle "y". The Pythagorean theorem tells you ...
sum of squares of sides = square of hypotenuse
y² +6² = 10²
x² +7² = y²
Substituting for y² using the second equation, we get ...
x² +7² +6² = 10²
x² = 10² -7² -6² = 100 -49 -36 = 15
Taking the square root, we find ...
x = √15 ≈ 3.9
100=1,478,300
1000=1,478,000
10,000=1,470,000
We start with 3: it stays unchanged
3.
then the first decimal place also remains unchanged:
3.6
now the second decimal place:
3.61
does it remain unchanged? No! the number AFTER is is 5 or bigger (it's 7), so we need to round it up. the answer is this:
3.62
