Answer:
No
Step-by-step explanation:
There are 2 ways to check if 2, 5, and 7 forms a right triangle.
One way to check this is by plugging 2, 5, and 7 into the Pythagorean Theorem, making a and b the shorter lengths and c the longer length, and seeing if it is true (if a²+b²=c²). Lets set a = 2, b = 5, and c = 7:
2² + 5² = 7²
4 + 25 = 49
29 = 49 not true
Since 29 does not equal 49, the statement is not true. Therefore, 2, 5, and 7 do not form a right triangle.
Another way to solve this is by first checking if the three numbers can for a triangle. The way to check if three numbers can form a triangle is by first checking if they are all greater than zero, and then checking if the sum of the two smaller numbers is greater than (not equal to) the largest number.
2, 5, and 7 are all greater than zero, but:
2 + 5 > 7
7 > 7
Since 7 is not greater than 7, the statement is not true, this means that the sum of the two smaller numbers is not greater than the largest number. Therefore, the three numbers cannot form a triangle, or a right triangle.
Therefore, the three numbers cannot form a right triangle.
I hope you find my answer helpful. :)
