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Can you find both sides of a triangle if only the hypotenuse is given?
Wiki User
∙ 14y ago
No. The hypotenuse is the side of a right triangle that is not adjacent to the right angle. The Pythagorean theorem says that a2+b2=h2 where h is the length of the hypotenuse and a and b are the lengths of the other sides.
Let's say the hypotnuse is 3, then
a2+b2=9
a and b could be the 1 and the square root of 8
or the square root of 2 and the square root of 7
or the square root of 3 and the square root of 6.
In fact, there are an infinite number of combinations of lengths that a and b could be.
Wiki User
∙ 14y ago
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How do you find the hypotenuse square of a right triangle?
To find the square of the hypotenuse, c, you must know the values of the other two sides (a and b). Square each of the two sides and add them together. This will be the value of the hypotenuse squared. (a2 + b2) = c2 To find the value of the hypotenuse, determine the square root of both sides of the equation. √(a2 + b2) = √c2 = c
In a right angled triangle the two sides that form the right angle are both 5 inches calculate the length of the other side the hypotenuse?
7.07 inches.
What is the length of one side of a 45-45-90 degree triangle if one side length is 17?
If only one of the side lengths is 17, both of the other two sides are the same length. Using Pythagoras's Theorem, a2=b2+c2 This means that 289=2a2 because 17 is the hypotenuse and both of the remaining sides are equal. Therefore the other two sides equal 12.02. If both the sides of the triangle are 17 units long, the hypotenuse equals Sqrt(172+172)=24.04
Can you show how a right triangle has one line of symmetry?
the only way for a right triangle to have a line of symmetry, is if the legs of the triangle are congruent. Or you can show that both non-right angles are congruent (45 degrees). you may also prove that the altitude of the triangle bisects the hypotenuse or that it equals 1/2 of the hypotenuse.
Is a rectangle and a triangle similar?
Rectangle has 4 sides, and triangle has 3 sides. So they are similar, they both have sides - one has more than the other :)
Can you find both sides of a triangle if the hypotenuse and perimeter is given?
Yes with a bit of give and take its sides can eventually be worked out.
What is the length of the hypotenuse if the triangle sides are both 9?
The hypotenuse is [ 9 sqrt(2) ] = 12.728(rounded)
What is the formula of right triangle given one side and the area finding the hypotenuse?
1/2*base*height = area Multipiy both sides by 2 and then divide both sides by the given value which then will give the value of the other side. Use Pythagoras' theorem to find the hypotenuse:- a2+b2 = c2
If you have a 45-45-90 triangle with a hypotenuse of 16 root 2 how do you find the other sides?
The other sides are both 16. This is because in a 45-45-90 triangle the legs are congruent because of the isosceles triangle theorem, and also the hypotenuse of the triangle is equal to the leg times root 2. That is because of the 45-45-90 triangle theorem. So in a summary the legs are congruent and the hypotenuse is equal to the leg times root 2.
How do you calculate a hypotenuse?
You calculate the hypotenuse of a right triangle using the following formula : a squared + b squared = c squared. (C is hypotenuse and A and B are legs) If the other sides are both one inch long, then the hypotenuse is the square root of 2.
What is the theorem that ina right triangle the sumof the squares of both sides is equal to the hypotenuse?
To the SQUARE of the hypothenuse. That's Pythagoras' Theorem.
If the perpendicular sides of a right angle triangle are both 16 inches what's the length of the hypotenuse?
16 sqrt(2) = 22.6274 (rounded)
How do you find the hypotenuse square of a right triangle?
To find the square of the hypotenuse, c, you must know the values of the other two sides (a and b). Square each of the two sides and add them together. This will be the value of the hypotenuse squared. (a2 + b2) = c2 To find the value of the hypotenuse, determine the square root of both sides of the equation. √(a2 + b2) = √c2 = c
How do you calculate hypoteneous of a right angled triangle?
The hypotenuse is the longest side of the right triangle. To calculate the hypotenuse of a right triangle, you would square the sides, add them up, and find the square root of the sum. When you find the square root of the sum, that will be the hypotenuse of your right triangle. For instance, let's say you are given a triangle. We'll call it Triangle ABC. In the triangle, you have three sides, Side A, Side B, and Side C. Sides A and B will represent the two known legs, also the shortest legs. Side C will represent the hypotenuse, the side we're trying to find. We know that Side A is 5km and that Side B is 12km. Now we just have to calculate the hypotenuse of the right triangle. To do that you would square both sides and add them, first. Like this: (5 x 5) + (12 x 12) which is the same as saying 25 + 144. Now you find the sum, which is 169. Now, there is one last step, finding the square root of the sum. Our square root would be 13, because we know that 13 x 13=169. So now you have found the missing side, the hypotenuse of the right triangle (Side C) which is 13km. And that's how you find the hypotenuse of a right triangle. Hope I could help!
What is the hypotenuse of a right triangle with both sides a and b are 24 feet?
Using Pythagoras it works out as 24*square root of 2 which is about 34 feet
The median to the hypotenuse of a right triangle divided the triangle into two triangles that are both what?
Isosceles.
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.
