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Using Pythagoras' theorem and the quadratic equation formula the area of the triangle works out as 135 square cm.

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How can you identify the hypotenuse of a right triangle?

A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.


How you know which side of the triangle is the hypotenuse?

In a right triangle, the hypotenuse is the longest side, which is opposite the right angle. To identify it, look for the angle that measures 90 degrees; the side opposite this angle is the hypotenuse. In any right triangle, the lengths of the other two sides (the legs) will always be shorter than the hypotenuse.


Why is the hypotenuse?

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.


Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.


What segment opposite the right angle of a triangle?

The segment opposite the right angle of a triangle is known as the hypotenuse. In a right triangle, the hypotenuse is the longest side and is opposite the right angle, while the other two sides are referred to as the legs. The hypotenuse plays a crucial role in trigonometry and the Pythagorean theorem, which relates the lengths of the sides of the triangle.

Related Questions

Is hypotenuse is greater from other sides in Pythagoras theorem?

The hypotenuse is the longest side. In a right-angled triangle, the hypotenuse is always opposite the right angle.


The hypotenuse of a right triangle is the side opposite to what angle?

The hypotenuse is the side of a right triangle opposite the right angle. The legs are the other two sides which form the right angle.


What is the hypotenuse angle theorem?

The hypotenuse angle theorem, also known as the HA theorem, states that 'if the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent.'


How can you identify the hypotenuse of a right triangle?

A right triangle, by definition, has a right (or 90o) angle. The side that is opposite that right angle is the hypotenuse. That is to say, the other two sides, which are not the hypotenuse, are the two sides which meet at a right angle.


How you know which side of the triangle is the hypotenuse?

In a right triangle, the hypotenuse is the longest side, which is opposite the right angle. To identify it, look for the angle that measures 90 degrees; the side opposite this angle is the hypotenuse. In any right triangle, the lengths of the other two sides (the legs) will always be shorter than the hypotenuse.


Why is the hypotenuse?

The hypotenuse is the longest side of a right triangle and is opposite the right angle. It is always longer than the other two sides of the triangle. This is because the length of the hypotenuse is determined by the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.


How do you calculate the hypoteneuse?

If it's a right angle triangle then:- a2+b2 = c2 where 'c' is the hypotenuse and the square root of this is the length of the hypotenuse when 'a' and 'b' are the other sides of the right angle triangle.


Does sohcahtoa work on a 90 degree angle I have a right triangle with a hypotenuse of 1m no other sides or angles were provided?

No. Given a triangle with only the right angle and the hypotenuse, you cannot calculate the other sides nor the other angles.


What segment opposite the right angle of a triangle?

The segment opposite the right angle of a triangle is known as the hypotenuse. In a right triangle, the hypotenuse is the longest side and is opposite the right angle, while the other two sides are referred to as the legs. The hypotenuse plays a crucial role in trigonometry and the Pythagorean theorem, which relates the lengths of the sides of the triangle.


What is degree of hypotenuse?

A triangle with an hypotenuse has a right angle that measures 90 degrees and two other acute angles,


Which angle has hypotenuse?

For a right angle triangle its hypotenuse is opposite its angle of 90 degrees and its other two angles are acute and its 3 angles add up to 180 degrees.


What is the length of the hypotenuse and its smallest angle of a triangle whose other lengths are 2.34 cm and 1.64 cm?

If it has an hypotenuse then it must be a right angle triangle then by using Pythagoras' theorem its hypotenuse is 2.86 cm rounded and by using trigonometry its smallest angle is 35.02 degrees rounded.