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If the legs of an isosceles right triangle are 6 units long What is the length of the hypotenuse?
Archimedes theorem says "the square of the hypotenuse is equal to sum of the squares of the other two sides" so in this example: hypotenuse2 = 62 + 62 = 72 hypotenuse = square root of 72 = 8.485 Alternately: Sin 45o = opposite/hypotenuse = 6/hypotenuse So hypotenuse = 6/sin 45 = 6/0.707 = 8.485
The length of the diagonals of Rhombus are 16 cm and 12cm.Find the length of each sides?
all sides of a rhombus are equal in length.the diagonals of the rhombus intersect at a 90 degree angle.the diagonals and the sides of the rhombus form right triangles.one leg of these right triangles is equal to 8 cm in length.the other leg of these right triangles is equal to 6 cm in lengththat would be half the length of each diagonal.the sides of the triangle form the hypotenuse of these right triangles.the formula is:hypotenuse squared = one leg squared plus other leg squared.this makes the hypotenuse squared equal to 8^2 + 6^2 = 64 + 36 = 100the hypotenuse is the square root of 100 which makes the hypotenuse equal to 10.the sides of the rhombus are equal to 10 cm
Consider a right triangle that has these dimensions The side opposite angle A is 6 meters and the side adjacent angle A is 8 meters. How long is the hypotenuse?
When two sides of a right triangle are 6 and 8, the triangle is similar to a 3-4-5 right triangle. Since 6 is twice 3 and 8 is twice 4, the hypotenuse has to be twice 5 or 10.
The hypotenuse of a triangle is 10 feet long The longer of the two legs is two feet longer than the other Find the length of the shorter leg?
The shorter leg is 6 feet long
Do these three sides make a right triangle 6cm 9cm 12cm?
To determine if these three sides form a right triangle, we can use the Pythagorean theorem. In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, we have 6^2 + 9^2 = 36 + 81 = 117 and 12^2 = 144. Since 117 is not equal to 144, these three sides (6cm, 9cm, 12cm) do not form a right triangle.
