can someone please help me? i don't know what the blanks are.
In any right triangle, the SUM of the ___ of the shorter sides(a and ) will equal the ___ of the longest side, c. In other words..... a^2+b^2=c^2
squares
(a and b)***
just read the definition of the Pythagorean Theorem.
Of course, I'd be happy to help you out! In a right triangle, which is a triangle with one angle measuring 90 degrees, we can use the Pythagorean theorem to relate the lengths of the sides.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In your given equation, the shorter sides of the right triangle are represented by variables "a" and "b". If we take the square of side "a" and the square of side "b", and add them together, it should be equal to the square of the longest side, represented by "c".
So, in your equation, the blanks are filled as follows:
- "a" represents one of the shorter sides.
- The other shorter side, which is missing, can be represented by the variable "b".
- "c" represents the longest side, which is the hypotenuse.
Using this equation, you can solve for the missing side if you know the lengths of the other two sides. Or, if you know the lengths of any two sides, you can double-check if the triangle is a right triangle by verifying if the equation holds true.