53 is the greatest side.So, it must be a hypotenuse. adjacent and opposite are nothing but the sides other than hypotenuse(=53) i.e,28 and 45. It is obeying the pythagoras theorem then by the converse of pythagoras theorem it is a right triangle. Hence proved.

To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

When we find slope in standard form, we take the A term, divide by B, then change the sign (or we just say -A/B. In this example, we have -3/-1, which is the same as 3/1, or 3.

The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2 , can be used to find the length of any side of a right triangle.

If this is a right triangle we can then substitute the sides of the triangle (12 and 35) and the hypotenuse (37) into the Pythagoras Theorem and the two sides of the equation will be equal. If this is not a right triangle the two sides of the equation will not be equal. Because these are equal this is a right triangle.

3 points always form a triangle. For a triangle with side lengths a, b, c, the Pythagorean theorem states that if and only if a2+b2=c2 then the triangle is a right triangle.

Step 1: This is a right triangle with two equal sides so it must be a 45°-45°-90° triangle. Step 2: You are given that the both the sides are 3. If the first and second value of the ratio x:x:x√2 is 3 then the length of the third side is 3√2. Answer: The length of the hypotenuse is 3√2 inches.

In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the length of the shortest leg, you can find the long leg by multiplying the short leg by the square root of 3.