Why is the hypotenuse of a right triangle longer than a leg of the triangle?
Explanation: In any triangle sides, opposite to congruent angles, are congruent. A side, opposite to a bigger angle, is bigger than a side that lies opposite to a smaller angle. The largest angle in a right triangle is the right angle, therefore, opposite to it lies the longest side – hypotenuse.Click to see full answer….
Explanation: In any triangle sides, opposite to congruent angles, are congruent. A side, opposite to a bigger angle, is bigger than a side that lies opposite to a smaller angle. The largest angle in a right triangle is the right angle, therefore, opposite to it lies the longest side – hypotenuse.Click to see full answer. Similarly one may ask, why is the hypotenuse always the longest side of the triangle?The hypotenuse is always the longest side in a right triangle because it is opposite of the largest angle, the ninety degree angle.Subsequently, question is, can a leg be longer than the hypotenuse? A leg cannot be longer than the hypotenuse. The largest angle in a right triangle is 90 degrees. opposite the 90 degree angle is the largest side. Regarding this, what is the relationship between the legs and hypotenuse of a right triangle? A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle.What is the length of the hypotenuse of the triangle?The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
