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What is the hypotenuse of a right angle triangle when one side is 1.75 cm shorter than the other side with an area of 18.375 square cm taking pi as 3.142?
Forget about pi for now and let the sides be (x-1.75) and x
If: 0.5*(x-1.75)*x = 18.375
Then: x2-1.75x-36.75 = 0
Solving the quadratic equation gives x a positive value of 7
Using Pythagoras: (7-1.75)2+72 = 76.5625 and its square root is 8.75
Therefore the hypotenuse is 8.75 cm
Note: pi*(5.25/2)2+pi*(7/2)2 = pi*(8.75/2)2
What else can I help you with?
Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?
A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x
If the sum of the squares of the legs of a right triangle are equal to 144 the hypotenuse is?
In a right triangle, the sum of the squares of the legs (a and b) is equal to the square of the hypotenuse (c), as described by the Pythagorean theorem: (a^2 + b^2 = c^2). If the sum of the squares of the legs is 144, then (c^2 = 144). Taking the square root gives (c = \sqrt{144} = 12). Therefore, the hypotenuse is 12.
What is hypotenuse of a isosceles triangle?
The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.
What is the length of the hypotenuse of a right triangle where the two sides are 6 units and 8 units long?
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, a = 6 units and b = 8 units. So, c^2 = 6^2 + 8^2 = 36 + 64 = 100. Taking the square root of 100 gives you the length of the hypotenuse, which is 10 units.
What is the hypotenuse of a right triangle with one side equal to 33 feet and another side equal to 41 feet.?
The hypotenuse of a right triangle is found using the Pythagorean theorem: c^2 = a^2 + b^2. Plugging in the given values, we have c^2 = 33^2 + 41^2. Simplifying, c^2 = 1089 + 1681 = 2770. Taking the square root of both sides, we find that the hypotenuse (c) is approximately 52.59 feet.
Why do you need sqrt 2 to divide the hypotenuse of a 45-45-90 triangle?
A 45-45-90 triangle is an isosceles right angled triangle. If its two short sides are of length x units then, by Pythagoras, the hypotenuse is given by: hypotenuse2 = x2 + x2 = 2x2 Taking square roots, hypotenuse = sqrt(2x2) = sqrt(2)*x
What is hypotenuse of a isosceles triangle?
The hypotenuse is the longest line in a right angle triangle, or the line opposite the 90 degree angle. So a hypotenuse only exists for right angled isosceles triangles. The hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So for example, if the one of the other sides is 1 then the hypotenuse is 2; Becuase 1 squared is 2, and as this is a right angled isosceles the other non-hypotenuse side will be the same length, so 2+2=4, then you take the square root of the sum and you get 2.
What is the hypotenuse of a triangle 18 in x 18 in?
To find the hypotenuse of a right triangle, we can use the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, both legs of the triangle are 18 inches long. So, using the formula c^2 = a^2 + b^2, where c represents the hypotenuse and a and b are the other two sides, we get c^2 = 18^2 + 18^2. Solving this equation gives us c^2 = 648, and taking the square root of 648 gives us c ≈ 25.46 inches. Therefore, the hypotenuse of a triangle with legs of 18 inches each is approximately 25.46 inches.
What is the length of the hypotenuse of a right triangle?
Oh honey, you're talking about that Pythagorean theorem stuff. The length of the hypotenuse is calculated by taking the square root of the sum of the squares of the other two sides. So grab your calculator and get ready to do some math, darling.
What Makes up a Triangle?
A triangle is the connection of 3 points (A, B, and C) where they are not all 3 collinear, and A is connected to both B and C, B is connected to both A and C, and C is connected to A and B, all via straight lines. For a Right triangle it would be Two legs and a Hypotenuse. The hypotenuse is determined by taking the two legs, squaring each than adding them together, then taking the square root of the achieved number.
What is the length of the hypotenuse of a right triangle where the two sides are 6 units and 8 units long?
To find the length of the hypotenuse of a right triangle, you can use the Pythagorean theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). In this case, a = 6 units and b = 8 units. So, c^2 = 6^2 + 8^2 = 36 + 64 = 100. Taking the square root of 100 gives you the length of the hypotenuse, which is 10 units.
What is the hypotenuse of a right triangle with one side equal to 33 feet and another side equal to 41 feet.?
The hypotenuse of a right triangle is found using the Pythagorean theorem: c^2 = a^2 + b^2. Plugging in the given values, we have c^2 = 33^2 + 41^2. Simplifying, c^2 = 1089 + 1681 = 2770. Taking the square root of both sides, we find that the hypotenuse (c) is approximately 52.59 feet.
What is the hypotenuse of a triangle with legs that are both 4 inches?
To find the hypotenuse of a right triangle with legs of 4 inches, you can use the Pythagorean theorem, which states that (a^2 + b^2 = c^2), where (c) is the hypotenuse. Here, both legs (a) and (b) are 4 inches, so (4^2 + 4^2 = c^2), which simplifies to (16 + 16 = c^2), or (32 = c^2). Taking the square root, the hypotenuse (c) is ( \sqrt{32} ), which simplifies to (4\sqrt{2}) inches, approximately 5.66 inches.
How do you use the area of a square to find the hypotenuse?
The area of a square is the square of the side (all sides of a square are of equal lengths). So taking the square root of the area would give the value of one side in linear units. Now adjacent sides of a square form a right angle. Therfore the hypotenuse would be the square root of (side^2 + side^2) but you know the value of the side from the previous step when you took the square of the area. Hence you can find the hypotenuse.
What does it mean to find the magnitude of a vector?
The magnitude of a vector is a geometrical value for hypotenuse.. The magnitude is found by taking the square root of the i and j components.
How do you use the Pythagorean theorem?
The Pythagorean states that a2 + b2 = c2 for a right triangle, where a and b are the lengths of the legs of the right triangle, and c is the length of the hypotenuse (the diagonal side).Say you are given a triangle with legs of lengths 3 and 4, and need to find the length of the hypotenuse. You can write the equation32 + 42 = c2, where c is the length of the hypotenuse.This gives25 = c2, and taking the square root of both sides of the equation gives5 = c, so the length of the hypotenuses in this case is 5.Another example:Say you have a right triangle where the length of one leg is 12 and the length of the hypotenuse is 13, and you need to find the length of the other leg. You can write the equationa2 + 122 = 132, where a is the length of the unknown leg.Solving:a2 + 144 = 169a2 = 25a = 5, so in this case, the length of the unknown leg is 5.
What would be a situation in which the lengths of two sides of a right triangle are known but the measure of an angle is needed?
In a right triangle where the lengths of two sides are known, such as the lengths of one leg and the hypotenuse, you can use trigonometric ratios to find the measure of an angle. For example, if you know the lengths of the opposite side and the hypotenuse, you can use the sine function: (\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}). By taking the inverse sine (arcsin) of the ratio, you can calculate the angle (\theta). Similarly, you can use cosine or tangent depending on which sides you have.
