the the sum of the two Triangles square diagonal square is 144 cm find the perimeter of the square
Answers
Answer:
Perimeter = 4s where s is the length of one side of the square.
Perimeter = 4s where s is the length of one side of the square.P=144 = 4s
Perimeter = 4s where s is the length of one side of the square.P=144 = 4ss =144/4 = 36
Perimeter = 4s where s is the length of one side of the square.P=144 = 4ss =144/4 = 36The square has width and length of 36 cm.
Perimeter = 4s where s is the length of one side of the square.P=144 = 4ss =144/4 = 36The square has width and length of 36 cm.A 45° 45° 90° right triangle is formed on both sides of the diagonal in a square, with its legs being the sides of the Square. The diagonal of the square forms the hypotenuse of this right triangle. And in such a triangle the hypotenuse is (the square root of 2) times the leg length, (in this case, 36).
Perimeter = 4s where s is the length of one side of the square.P=144 = 4ss =144/4 = 36The square has width and length of 36 cm.A 45° 45° 90° right triangle is formed on both sides of the diagonal in a square, with its legs being the sides of the Square. The diagonal of the square forms the hypotenuse of this right triangle. And in such a triangle the hypotenuse is (the square root of 2) times the leg length, (in this case, 36).Therefore the length of the diagonal of the square with 144 cm perimeter is 362–√362 cm
Perimeter of square is 144√2 cm
Step-by-step explanation:
We know that Length of diagonal of a square in terms of side = side × √2
the sum of the length of whose diagonals = 144cm
let the side of square is a cm
Then diagonal is a√2
and according to the question
a root2 + a root2 = 144
2 root 2a = 144
a = 144/ 2 root 2
a = 72/ root 2
= 72* root 2/ root2 * root2
a = 36 root2
So perimeter of a square is
4a
= 4 * 36 root 2
= 144 root 2
Hope it helps you.
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