Rectangle A
Find the length of the diagonal of the rectangle A
Cordinates (-1,-5) (-1,-2) (5,-2) (5,-5)
i got the equation d= √(-1-5)^2+(-2--5)^2
and came up wtih the answer of 15, but the answer key is 3√5
The calculator is never wrong SO IM WRONG help please :( i'm desperate because i'm pretty sure i've done this right!!! Thank you! :)
To find the length of the diagonal of a rectangle, you can use the distance formula. Let's calculate it step-by-step:
Step 1: Identify the coordinates of the opposite vertices of the rectangle. In this case, the opposite vertices are (-1, -5) and (5, -2).
Step 2: Plug these coordinates into the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Step 3: Substitute the values into the formula:
d = sqrt((5 - (-1))^2 + (-2 - (-5))^2)
= sqrt((5 + 1)^2 + (-2 + 5)^2)
= sqrt(6^2 + 3^2)
= sqrt(36 + 9)
= sqrt(45)
At this point, it is important to simplify the square root of 45. Notice that 45 can be factored as 9 times 5. Therefore:
d = sqrt(9 * 5)
= sqrt(9) * sqrt(5)
= 3 * sqrt(5)
So, according to the correct calculation, the length of the diagonal of the rectangle A is 3√5.
It seems like you made an error in your calculation. You mentioned getting 15, which is incorrect. When using the distance formula correctly and simplifying the square root, you should arrive at the correct answer of 3√5.