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Find the lengths of the three sides of the right triangle with the measurements of one leg square root of x hypotenuse is 6 plus square root of x and the other leg is square root of x plus 63?
Craftiedeann
I need to get this clearer. You have a right triangle. Call the sides adjacent to the right angle a and b, and the hypotenuse h. Now you are saying:
a = root of x, b = (root x + 63), h = (root x + 6). Is that right?
Now h2 = a2 + b2 , so (root x +6)2 = (root x)2 + (root x + 63)2
Simplifying, we get x + 114rootx +3933 = 0 which is obviously impossible for real numbers. Therefore I think you have made a mistake with the specification. Please reconsider the question.
Addition / Correction:
The square root of x could represent a negative number but then it couldn't be the length of the side of a triangle...
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∙ 14y ago
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In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?
Yes
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
What is the hypotenuse of a right triangle with legs of lengths 5 and 12?
The hypotenuse of a right triangle is the square root of the sums of the squares of the lengths of the other two sides, i.e. it is c, where c2 = (a2 + b2).The hypotenuse for the example is c = [sqrt (52 + 122)] = [sqrt (25+144)]= sqrt [169] = 13.
Is A triangle with sides of lengths 12 15 and 20 a right triangle?
No. Pythagoras' theorem states that when the square of the hypotenuse is equal to the sum of the squares of the other two sides then it is a right-angled triangle. The hypotenuse is the longest side (opposite the supposed right angle). In this case the hypotenuse is 20. The square of 20 is 400. The other two sides are 12 and 15. The square of 12 is 144 and the square of 15 is 225. The sum is therefore 225 + 144 = 369, which is not equal to 400, therefore the triangle cannot be a right-angled triangle.
In a right triangle the sum of the squares of the leg lengths is equal of the lengths is equal to the square of the hypotenuse?
Yes
What is is the length of the hypotenuse of a right triangle that has legsbwith lengths of 5 and 4?
The length of the hypotenuse works out as the square root of 41
In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Yes
In a right triangle the sum of the squares of the leg lengths is equal to the square of the hypotenuse length?
Correct.
What describes the relationship between the lengths of the legs and the hypotenuse in a right triangle?
The square of the two legs is equal to the square of the hypotenuse. a2+b2 = c2 where a and b are the legs and c being the hypotenuse
What is the length of a hypotenuse?
A hypotenuse is the longest side of a right angled triangle. The length of a hypotenuse can be found using the Pythagorean Theorem. This states that in a right angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. This means that to find the length of the hypotenuse, you need to know the lengths of the other two sides.
What is known as In a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
Pythagorean Theorem
What is the hypotenuse of a triangle with side lengths of 5 and 2?
The hypotenuse of a right triangle with sides of 5 and 2 equals the square root of 29 (the sum of the squares of the other two sides) which is approximately 5.385.
How do you calculate the length of s hypotenuse using Pythagoras theorem?
In a right triangle, square the lengths of the other two sides and add them together. The length of the hypotenuse will be the positive square root of that number.
What is the length of the hypotenuse of a right triangle with legs the lengths of 4 and 5?
Use Pythagoras' theorem:- 42+52 = 41 and the square root of this is the length of the hypotenuse.
What theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
the Pythagorean Theorem
This theorem states that in a right triangle the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs?
pythagorean theorem.
