The area of a square garden is 50 m3. How long is the diagonal?
1 answer:
Answer:
10 m
Step-by-step explanation:
If the area of a square is 50 m2, then the length of each side will be m, to get the diagonal length, after dividing the square by joining the points of the diagonal with a line, it forms two right angles with length
m each.
the diagonal length represent the hypotenuse side of each of the right angle, knowing the pythagoras theorem:
, so we have:
diagonal = 10 m
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Step-by-step explanation:
To write an algebraic expression from words, translate each word into a symbol. Division can be shown with a division sign or a fraction sign. Create a fraction with a 12 in the numerator and the variable t in the denominator.
The external angle is suplementary to the internal angle close to it. We also know that the sum of all the internal angles of the triangle are equal to 180 degrees, this means that the angle "a" is suplementary to the sum of the angles "b" and "c". Through this logic, we can conclude that since:
Then we can conclude that:
Therefore the statement is true, the exterior angle is equal to the sum of its remote interior angles.
Let's use an example:
On this example, the external angle is 120 degrees, therefore the sum of the remote interior angles must also be equal to that. Let's try:
The sum of the remote interior angles is equal to the external angle.
