The perimeter of the square is: 
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem
Dividing both sides by 2
Taking Square root on both sides
Now,
Hence,
The perimeter of the square is: ft
Keywords: Perimeter, Pythagoras Theorem
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Answer:
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Answer:
In a 45 - 45 - 90 triangle, the legs are equal and the ratio of sides from shortest to longest is 1 : 1 : √2 where 1 are the legs and √2 is the hypotenuse. In this case the leg is 10 / √2 = 5√2.
Since (4y-42) and 2y are opposite angles, they equal to each other which looks like this:
4y-42 = 2y
From there you want to put the y onto one side:
4y-2y-42=0 -----> 2y-42=0
You want to balance the equation out and move the -42 onto the other side so you add it to both sides to get:
2y=42
Then divide both sides by 2 to get:
y= 21
From there you can plug 21 back into the original equation to find each angle.
4(21)-42 = 2(21) ---> 84-42 = 42 ---> 42 = 42
So y = 21 and each angle is 42 degrees
