The minimum length for the third side is 30 - 10 = 20; the maximum length is 30 + 10 = 40. It may be anything in between. Without further information (about angles, for example), you can't tell say about the third side.
Length of triangle is 14.4 inches. Check: 0.5*14.4*10 = 72 square inches
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
Perimeter: 5+10+length of its 3rd side
A2 + B2 = C2 Therefore, 102 + 242 = 100 + 576 = 676=(C2) and C = (sqrt 676) = 26The missing length is called the hypotenuse.
The pitcher's mound is 10 inches off the ground when compared to home plate. The distance between the pitcher's mound and home plate is 60 feet, 6 inches or 726 inches. We can use these to formulate a triangle where the triangle's base is 726 inches and its height is 10 inches, with an unknown hypotenuse length. We assume the triangle to be a right triangle at the pitcher's mound on the ground, and an angle of elevation (a) at home plate. Using the Pythagorean theorem, we find that the length of this triangle's hypotenuse is 726.06886 inches, and using the law of sines, we find that the angle of elevation of the pitcher's mound from home plate is 0.78914 degrees.
Length of triangle is 14.4 inches. Check: 0.5*14.4*10 = 72 square inches
By definition, an equilateral triangle has all three sides of equal length! So it is impossible for it to have sides of length 10 inches and 7 inches!
The length of the hypotenuse of a right triangle with legs of lengths 6 and 8 inches is: 10 inches.
Perimeter: 5+10+length of its 3rd side
There is a problem with your question, namely that such a triangle does not exist. An equilateral triangle with sides of length 10 would have a height of 5 * (root 3), which is approx 8.66 (not 7 as the question states). An equilateral triangle of side length 10 inches would have an area of 25*(root 3), which is approx. 43.3 inches2.
To create a triangle, the sum of the two shorter sides must be greater than the third side. If one of the sides of length 10 is the longer side then the missing side must be greater than 10 - 10 = 0 If the missing side is the longest side then the missing side must be less than 10 + 10 = 20 Thus any length that is greater than 0 and less than 20. Examples include: 1, 5, 10, 19
10
A2 + B2 = C2 Therefore, 102 + 242 = 100 + 576 = 676=(C2) and C = (sqrt 676) = 26The missing length is called the hypotenuse.
To create a triangle, the sum of the two shorter sides must be greater than the third side.If the side of length 10 is the longer side then the missing side must be greater than 10 - 8 = 2;If the missing side is the longer side then the missing side must be less than 8 + 10 = 18.Thus any length that is greater than 2 and less than 18.Examples include: 7, 10, 8, 4.
The hypotenuse of a right triangle with a base of 24 inches and height of 10 inches is: 26 inches.
The pitcher's mound is 10 inches off the ground when compared to home plate. The distance between the pitcher's mound and home plate is 60 feet, 6 inches or 726 inches. We can use these to formulate a triangle where the triangle's base is 726 inches and its height is 10 inches, with an unknown hypotenuse length. We assume the triangle to be a right triangle at the pitcher's mound on the ground, and an angle of elevation (a) at home plate. Using the Pythagorean theorem, we find that the length of this triangle's hypotenuse is 726.06886 inches, and using the law of sines, we find that the angle of elevation of the pitcher's mound from home plate is 0.78914 degrees.
The length of the last side cannot be determined exactly. But we can narrow it down. The third side will have length l, and 0" < l < 10". The last side will have a length greater than zero inches but less than 10 inches, and the inequality says that nicely.If it is a right triangle it is a 45 45 90 so the other side is square root 2 x 5