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The length of the three sides of a right triangle are given by three consecutive even integers. Find the lengths of the three sides?

10


What are the consecutive sides of a quadrilateral?

The only thing that can be said about consecutive sides of a quadrilateral is that they meet at a vertex. There is no restriction on the angle, nor on their respective lengths.


What is a quadrilateral with four right angles but with sides of unequal lengths?

a rectangle (that is NOT a square) has 4 right angles and consecutive sides of unequal lengths.


What is the special name for three integers whose lengths form a right triangle?

Pythagorean triplets.


How many distinct equilateral triangles with a perimeter of 60 units have integer side lengths?

There is only one equilateral triangle with a perimeter of 60 units. Its side lengths are integers.


Quadrilateral formed by connecting the midpoints of consecutive sides?

A parallelogram with sides whose lengths are half the diagonals of the original quadrilateral.


The lengths of the side of a scalene triangle are consecutive integersthe perimeter of the tringles is 144what is the length of each side?

47, 48, and 49


What is the height and width and lengthof a 40 feet high cube container?

My friend, you just said the height. :P You just said that it is a 40 feet high cube. Since a cube has equal lengths all over, the width would obviously be 40 feet as well.


What are all the possible lengths for the sides of a triangle if the triangle's perimeter is 17 and the lengths of the sides are integers?

The sum of the lengths of two sides of a triangle must be greater than the length of the third so the following eight triangles will do: (1,8,8), (2,7,8), (3,6,8), (3,7,7), (4,5,8), (4,6,7), (5,5,7) and (5,6,6).


A triangle has a base 17 units long and the lengths of the other two sides are equal if the side lengths are integers what is the shortest possible side length?

9 is shortest integer side length greater than 17/2


Which set of numbers could be the lengths of the sides of the right triangles?

There are infinitely many triplets, and in general, they do not have a name. If all three are integers, then they are known as Pythagorean triplets.


The length of one leg of a right triangle is 6. The lengths of the other leg and the hypotenuse are cosecutive even integers. Find the length of the hypotenuse?

IS THIS FOR YOUR HOMEWORK? THE TRICK IS READING THE QUESTION CAREFULLY. CONSECUTIVE EVEN INTEGERS ARE 2 NUMBERS APART, SO IN A RIGHT TRIANGLES SIDES A, B, AND C, A SQUARED + B SQUARED = C SQUARED, AND C = B + 2 6 SQUARED + B SQUARED = [B+2] SQUARED 36 + B SQUARED = B SQUARED + 4B +4 SOLVE FOR B, AND GET 8, SO C WHICH IS [ B+ 2] IS 10. 36 + 64 = 100