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Using the quick method, it is 5√2

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Q: What is the diagonal of the square has sides of 5 units?
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The diagonals of the rhombus are in the ratio 3 4 the perimeter of the rhombus is 40cm find the lengths of the sides and of the diagonals?

The length of the sides of the rhombus are 10cm, as a rhombus has equal sides. since the diagonals of a rhombus are perpendicular, ratio of side of rhombus to 1/2 a diagonal to 1/2 of another diagonal is 5:4:3 (pythagorean thriple), hence ratio of side of rhombus to 1 diagonal to another diagonal is 5:8:6. since 5 units = 10cm 8 units = 16cm 6 units = 12cm and there are your diagonals.


Can you draw a square with a perimeter of 20 units?

To draw a square with a perimeter of 20 units, each side must be 5 units long. A square has four equal sides, so if you add all four sides together (5 + 5 + 5 + 5), you get a perimeter of 20 units. To draw this square, simply ensure each side measures 5 units in length.


What is a triangle with an area of 12 square units?

It's half the size of a quadrilateral with 24 square units ------------ One type of triangle with an area of 12 square units is the isosceles triangle with two 5-unit sides and one 6-unit side.


What is the length of the hypotenuse of a right triangle where the two sides are 5 units and 4 units long?

Use Pythagoras'theorem:- 52+42 = 41 and the square root of this is the hypotenuse which is about 6.403124237 units in length


What shape has a perimeter of 16 units?

A shape with a perimeter of 16 units could be a square with each side measuring 4 units (4 + 4 + 4 + 4 = 16), a rectangle with dimensions of 3 units by 5 units (3 + 5 + 3 + 5 = 16), or a triangle with sides measuring 6 units, 5 units, and 5 units (6 + 5 + 5 = 16). These are just a few examples of shapes that could have a perimeter of 16 units.