What will be the area of each triangle if we draw two diagonals of a square with side 7 cm?
Answers
Answer:
The length of the diagonal can be found using the Pythagorean Theorem (a^2+b^2=c^2). In this formula, a and b are the sides of the right triangle, and c is the long side or the hypotenuse. The diagonal (c) would be found with the equation 12^2+12^2=c^2.
Step-by-step explanation:
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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.