Table of Contents
- 1 Is the hypotenuse longer than the sum of the two sides?
- 2 Is the base of a right triangle shorter than the hypotenuse?
- 3 Can the hypotenuse be shorter than the legs?
- 4 Is it possible for the hypotenuse of a right triangle to be equal or smaller than the larger leg in a right triangle?
- 5 Is the hypotenuse always longer than the other two legs?
- 6 How do you find the hypotenuse of a right angled triangle?
Is the hypotenuse longer than the sum of the two sides?
A hypotenuse does not have “sides” , so rephrase your question. Any side of a triangle is always shorter than the sum of lengths of the other two sides of the triangle. In a RIGHT TRINGLE, the SQUARE OF THE hypotenuse is ALWAYS EQUAL to the SUM OF THE SQUARES of the other two sides (called the LEGS) of the triangle.
Is the hypotenuse always shorter?
The “c” is the hypotenuse, and although it represents the longest side of a right triangle, it is the shortest path between the two points on either end. But the hypotenuse isn’t always the shortest route. In fact, it is only the shortest one on football fields and other flat surfaces.
Is the base of a right triangle shorter than the hypotenuse?
We are given the length of the hypotenuse so we will first use this part of the Theorem which states: the hypotenuse is twice the shorter leg, so the shorter leg (the base of our triangle) is half the hypotenuse,or, feet.
Why is the hypotenuse of a right triangle longer than a leg of the triangle choose the correct response?
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.
Can the hypotenuse be shorter than the legs?
Since a right angle is half that (90°), it has to be the biggest angle in the triangle and the side across from it will always be the longest. …
Is hypotenuse always opposite right angle?
The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.
Is it possible for the hypotenuse of a right triangle to be equal or smaller than the larger leg in a right triangle?
No, it can’t. The largest angle in a right triangle is 90 degrees and it is the largest angle of the triangle. The side opposite the largest angle has to be the largest side.
Can the hypotenuse be shorter than a leg?
For every right triangle, the hypotenuse is the diameter of the circumscribed circle: But the diameter is the largest of all possible chords, so it can’t be smaller than any of them.
Is the hypotenuse always longer than the other two legs?
In a right triangle, the sum of the interior angles will always be 180°. Since a right angle is half that (90°), it has to be the biggest angle in the triangle and the side across from it will always be the longest.
What is the sum of a triangle’s angles always equal to?
180°
Angles in a triangle sum to 180° proof.
How do you find the hypotenuse of a right angled triangle?
Hypotenuse calculator The hypotenuse is opposite the right angle and can be solved by using the Pythagorean theorem. In a right triangle with cathetus a and b and with hypotenuse c , Pythagoras’ theorem states that: a² + b² = c² . To solve for c , take the square root of both sides to get c = √(b²+a²) .
Can a triangle have 2 hypotenuse?
The answer is trivial if the two triangles are identical, and according to Thales’ theorem I know that there are cases when two right triangles have the same length hypotenuse, but they are not identical (the legs length and the angles are different).