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How do you find the sides of a right triangle whose hypotenuse is 19.5 with a perimeter of 45 and an area of 67.5 square cm?
Let the sides be x and y:-
Perimeter: x+y+19.5 = 45 => y = 45-19.5-x => y = 25.5-x
Area: 1/2*x*y = 67.5 => x*y = 135
So: x(25.5-x) =135 => 25.5x-x2-135 = 0
Solving: 25.5x-x2-135 = 0 by means of the quadratic equation formula gives x positive values of 18 and 7.5
Therefore the sides of the right angle triangle are: 18 cm and 7.5 cm
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How can you find the height of a right triangle when you have the base and hypotenuse?
-- Square the hypotenuse. (Multiply it by itself.)-- Square the base. (Multiply it by itself.)-- Subtract the square of the base from the square of the hypotenuse.-- Take the square-root of the difference. It's the height of the triangle.
The square of the 2 legs of a right triangle are equal to the square of what?
Are equal to the square of its hypotenuse.
What is the perimeter of a right angle triangle that has an hypotenuse of 16.25 cm and an area of 46.875 square cm?
Using Pythagoras' theorem and the quadratic equation formula the sides of the triangle work out as 6.25 cm and 15 cm. Therefore the perimeter of the right angle triangle is: 6.25+15+16.25 = 37.5 cm
If the legs of an isoceles right angle are 7 what is the hypotenuse?
If the legs of an isoceles right triangle are 7, then the hypotenuse is 9.9. Remember that in a right triangle, the sum of the squares of the sides adjacent to the right angle are equal to the square of the hypotenuse. In this case, the two sides are 7, so the square of the hypotenuse is 72 + 72, or 49 + 49, or 98. The hypotenuse, then, is the square root of 98, or about 9.9.
The legs of a triangle are 5 and 12 What is the perimeter?
With sides of 5 and 12, you can make a triangle with any perimeter you want between 24 and 34. If you call them "legs" because they are the sides of a right triangle, then the hypotenuse is 13, and the perimeter is 30.
How can you find the base of a right triangle when you have the height and hypotenuse?
The square of the length of the base plus the square of the length of the height will equal the square of the length of the hypotenuse of your right triangle, per Pythagoras. Square the hypotenuse, subtract the square of the height, and then find the positive square root of that and you'll have the base of your right triangle.
How do you find the length of a diagnol of a square if the perimeter is 64 cm?
If the perimeter is 64, then one side is 16. The diagonal is the hypotenuse of a right triangle. Hello Pythagoras. The answer is the square root of 512 or 16 times the square root of 2.
How can you find the height of a right triangle when you have the base and hypotenuse?
-- Square the hypotenuse. (Multiply it by itself.)-- Square the base. (Multiply it by itself.)-- Subtract the square of the base from the square of the hypotenuse.-- Take the square-root of the difference. It's the height of the triangle.
The square of the 2 legs of a right triangle are equal to the square of what?
Are equal to the square of its hypotenuse.
What is the perimeter of a right angle triangle that has an hypotenuse of 16.25 cm and an area of 46.875 square cm?
Using Pythagoras' theorem and the quadratic equation formula the sides of the triangle work out as 6.25 cm and 15 cm. Therefore the perimeter of the right angle triangle is: 6.25+15+16.25 = 37.5 cm
If the legs of an isoceles right angle are 7 what is the hypotenuse?
If the legs of an isoceles right triangle are 7, then the hypotenuse is 9.9. Remember that in a right triangle, the sum of the squares of the sides adjacent to the right angle are equal to the square of the hypotenuse. In this case, the two sides are 7, so the square of the hypotenuse is 72 + 72, or 49 + 49, or 98. The hypotenuse, then, is the square root of 98, or about 9.9.
What is the hypotenuse if the legs are 15 and 23?
If its a right angle triangle then the hypotenuse works out as the square root of 754
What is the square of the hypotenuse?
The square of the hypotenuse is equal to the length of the hypotenuse times itself. This is also equal to the sum of the squares of the other two sides in a right triangle.
The legs of a triangle are 5 and 12 What is the perimeter?
With sides of 5 and 12, you can make a triangle with any perimeter you want between 24 and 34. If you call them "legs" because they are the sides of a right triangle, then the hypotenuse is 13, and the perimeter is 30.
What is the area in square meters of a right triangle with the hypotenuse of 65 meters and a leg of 25 meters?
A right triangle with a hypotenuse of 65 meters and a leg of 25 meters has an area of: 750 square meters.
Definition of converse for pythagorean theroem?
Pythagorean Theorem: In a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Converse: If the square on the hypotenuse is equal to the sum of the squares on the other two sides of a triangle, then it is a right triangle.
What is the hypotenuse if the legs of a triangle are 0.024 and 0.007?
To calculate the hypotenuse of a right triangle, you can use the Pythagorean theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. So, the hypotenuse would be the square root of (0.024^2 + 0.007^2), which is approximately 0.025.
