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Prove that a rhombus has congruent diagonals?
Since the diagonals of a rhombus are perpendicular between them, then in one forth part of the rhombus they form a right triangle where hypotenuse is the side of the rhombus, the base and the height are one half part of its diagonals. Let's take a look at this right triangle.The base and the height lengths could be congruent if and only if the angles opposite to them have a measure of 45⁰, which is impossible to a rhombus because these angles have different measures as they are one half of the two adjacent angles of the rhombus (the diagonals of a rhombus bisect the vertex angles from where they are drawn), which also have different measures (their sum is 180⁰ ).Therefore, the diagonals of a rhombus are not congruent as their one half are not (the diagonals of a rhombus bisect each other).
What is the perimeter of a rhombus whose diagonals measure 16 cm and 30 cm?
the diagonals of a rhombus measure 16 cm and 30 cm.find its perimeter.
How do you find the measures of a rhombus with two diagonals?
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
Find the area of a rhombus with diagonals that measure 8 and 10?
Find the area of a rhombs with diagonals that measure 8 and 10.
Are the diagonals of a rhombus perpendicular?
Yes, the diagonals of a rhombus are perpendicular.
What is the length of one side of the rhombus if the diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters?
Since the diagonals of a rhombus are perpendicular and bisect each other, then we can use the Pythagorean theorem to find the length of the side of the rhombus. So in the right triangle, whose length of the legs are 6 and 8 centimeters, the hypotenuse length (the length of the side of the rhombus) is √(62 + 82) = √(36 + 64) = √100 = 10 cm.
Are the diagonals of a rhombus equal?
No. The diagonals of rhombus are not equal.
Does rhombus have equal diagonals?
No. The diagonals of rhombus are not equal.
What are the features of a rhombus?
A rhombus has several features. its diagonals will bisect its opposite angles, and the opposite angles will measure equally.
Are the diagonals of a rhombus equal in lenght?
No. The diagonals of rhombus are not equal.
Are the diagonals of a rhombus are always perpendicular?
No. The diagonals of a rhombus are perpendicular only if the rhombus is a square.
If one of the diagonals of a rhombus is equal to one of its sides find the measures of all the angles?
120,120,60,60
