estimate the lenght of the diagonal of squares with the following sides 7cm
Answers
Answer:
The formula for finding the length d of either diagonal of a square is: d = s√2, where s is the length of one of the 4 congruent sides of the square, and √2 is the positive square root of 2.
Since we're given that the length s = 7 cm, then the length d of the diagonal is found as follows:
d = s√2
= (7 cm)√2
d = 7√2 cm is the exact length of a diagonal of a square with each side 7 cm long.
= (7 cm)(1.414) (Note: 1.414 is an approximation of the positive square root of 2 to 3 decimal places)
d = 9.9 cm is the approximate length of the diagonal rounded to the nearest tenth of a centimeter.
Step-by-step explanation:
The formula for finding the length d of either diagonal of a square is: d = s√2, where s is the length of one of the 4 congruent sides of the square, and √2 is the positive square root of 2.
Since we're given that the length s = 7 cm, then the length d of the diagonal is found as follows:
d = s√2
= (7 cm)√2
d = 7√2 cm is the exact length of a diagonal of a square with each side 7 cm long.
= (7 cm)(1.414) (Note: 1.414 is an approximation of the positive square root of 2 to 3 decimal places)
d = 9.9 cm is the approximate length of the diagonal rounded to the nearest tenth of a centimeter.