Find the distance between these two points using the Pythagorean Theorem. Which choice is correct? (1 point) Responses (62+102)−−−−−−−−−√=136−−−√ square root of open paren 6 squared plus 10 squared close paren end root is equal to square root of 136 62−−√+32=25−−√ square root of 6 squared end root plus 3 squared is equal to square root of 25 32−−√−52=20−−√ square root of 3 squared end root minus 5 squared is equal to square root of 20 52+72=136−−−√
The correct choice is (2) 62−−√+32=25−−√.
Using the Pythagorean Theorem, the distance between two points (x1, y1) and (x2, y2) is calculated by taking the square root of ((x2-x1)^2 + (y2-y1)^2). In this case, the points are (6,10) and (3,2), so the distance is equal to the square root of ((6-3)^2 + (10-2)^2), which simplifies to the square root of (3^2 + 8^2), which further simplifies to the square root of (9 + 64), which equals the square root of 73. Therefore, the correct choice is (2) 62−−√+32=25−−√, which simplifies to sqrt(73) = sqrt(73).
is this correct?
Apologies for the confusion in the previous message. Let's reevaluate the Pythagorean Theorem calculation.
Given the points (6, 10) and (3, 2), let's find the distance between these two points using the Pythagorean Theorem.
Distance = sqrt((3-6)^2 + (2-10)^2)
Distance = sqrt((-3)^2 + (-8)^2)
Distance = sqrt(9 + 64)
Distance = sqrt(73)
Therefore, the correct choice is (1) sqrt(73) = sqrt(73).