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You use the pythagorean theorem.

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Q: How can you find the length of the missing side of a triangle using square root?
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A triangle has a hypotenuse of length 25 and a leg length of 15?

Using Pythagoras' theorem: 252-152 = 400 and the square root of this is 20 units in length.


A right triangle has a hypotenuse of length 15 and a leg of length 11 what is the are of the triangle?

56.08921465 or about 56 square units Worked out by using Pythagoras' theorem and area = 1/2*base*height.


What is the length of the hypotenuse of a right triangle where the two sides are 24 units each?

Using Pythagoras:- 242+242 = 1152 and the square root of this is the length of the hypotenuse which is 24*sq rt 2 which is about 33.941 units to 3 d.p.


What is the length of the hypotenuse of a right triangle whose legs measures 12 yards and 16 yrds?

Using Pythagoras' theorem it is 20 yards in length.


The perimeter of the square is 16 inches what is the circumference?

The perimeter of a plane figure is the length of its boundary. Thus the perimeter of a square of length L is 4L. So the perimeter of a square of length 4 is 4 x 4 = 16 (4 + 4 + 4 + 4 = 16). The perimeter of a circle is the length of its circumference.If you are asking for the circumference of the circle circumscribed and inscribed in this square, their circumference will be:First, we need to find the measure length of their radius. We know that the diagonals of the square form 4 congruent isosceles triangles with the base length equal to the length of the square, and length side equal one half of the diagonal length ( the diagonals of a square are equal in length and bisect each other (and bisect also the angle of the square ), so the center of the circumscribed circle of the square will be the point of their intersection, and its radius will be the one half of the diagonal of the square). We can find the diagonal length by using the Pythagorean theorem. So from the right trianglewhich is formed by drawing one of the diagonals, we find the length of the diagonal which is also the hypotenuse of this right triangle, and which is equal to square root of[2(4^2)]. So the length of the diagonal is equal 4(square root of 2), and its half is 2(square root of 2), which is the length of the radius of the circumscribed circle. So its circumference is equal to (2)(pi)(2(square root of 2)) = 4(square root of 2)pi.Now, we need to know what is the length of the radius of the inscribed circle, and what is this radius. Let's look at the one of the fourth triangles that are formed by drawing the two diagonals of the square. If we draw the perpendicular from the intersection of the diagonals to the side of the square, this perpendicular is the median of the side of the square and also the altitude of this isosceles triangle. Let's find the measure of its length. Again we can use the Pythagorean theorem. So this measure is equal to the square root of [(2(square root of 2))^2] - 2^2] which is equal to 2. If we extend this perpendicular to the side of the triangle and draw another perpendicular from the point of the intersection of the diagonals to the other sides of the square, their length will be also 2. Since they have the same distance from the point of the intersection of the diagonals, we can say that their length is the length of the radius of the inscribed circle, and the point of the intersection of the diagonals is also its center. So the measure of length of the radius is 2, and the circumference of the inscribed circle is (2)(pi)(r) = (2)(pi)(2) = 4pi.As a result, we can say that the point of the intersection of the diagonals of a square is the center of its inscribed and circumscribed circle, and the perpendicular lines drawing from this point to the sides of the square bisect each other. (These perpendiculars are parallel and equal in length to the square length, because we know that two lines that are perpendicular respectively to the other two parallel lines, are equal in length and parallel between them). We also can say that in an isosceles triangle with 45 degrees base angle, the median is not only also an altitude, but its length is one half of the length of the base.

Related questions

How do you calculate area of a triangle using the length of the diagonal of a square?

It depends on the relationship between the triangle and the square!


What is the length of the hypotenuse of a triangle if the length of one side is 6 m and the other side 8 m?

To find the length of the hypotenuse on a triangle, you have to use the Pythogoras Theoram. using the equation a square + b square = c square. you cannot find it without using the pythagoras theoram


What does Pythagoras famous theroem involve?

It involves a right triangle. If a length is missing in a right triangle, you can find it out by using the other two lengths.


How do you find the missing length of a triangle using Pythagoras?

The length of side A squared plus the length of side B sqaured equals the missing side of the triangle squared. So i.e. if side A is 4 and side B is 3 then 4x4 which is 16 plus 3x3 which is 9 equals 25 and the square root of 25 equals 5. So in conclusion the missing side equals 5.


What is the approimate side length of a square with a diagonal of 5 units?

The side length of the square is about 3.54 units using Pythagoras' theorem for a right angle triangle


A triangle has a hypotenuse of length 25 and a leg length of 15?

Using Pythagoras' theorem: 252-152 = 400 and the square root of this is 20 units in length.


How do you use sine in math?

The sine function is used in trigonometric calculations when attempting to find missing side lengths of a right triangle. The sine of an angle in a triangle is equal to the length of the side opposite of that angle divided by the length of the hypotenuse of the triangle. Using this fact you can calculate the length of the hypotenuse if you know an angle measure and the length of one leg of the triangle. You can also calculate the length of a leg of the triangle if you know an angle measure and the length of the hypotenuse.


A right triangle has a hypotenuse of length 15 and a leg of length 11 what is the are of the triangle?

56.08921465 or about 56 square units Worked out by using Pythagoras' theorem and area = 1/2*base*height.


Find the length of the hypotenuse of an isosceles right triangle whose legs are 1 unit in length.?

Using Pythagoras's theorem the hypotenuse is the square root of 2 units of length


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 an altitude of an equilateral triangle whose side length is 7 square root of 3?

Using Pythagoras' theorem it works out as 10.5 units of measurement


What all can a person calculate by using a square footage calculator?

One thing that can be calculated using a Square Footage Calculator is the Length and Width of a Rectangle, Circle, Square or Triangle. This comes in handy for calculating room sizes.