Q: How do you find sides of right triangle given only the hypotenuse and all angles?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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

If it has no right angles, it is not a right triangle and therefore you cannot name a hypotenuse of that triangle. Which implies you cannot find that side's measure.

If it's a right angle triangle then the other 2 angles areacute

The hypotenuse only is not sufficient to determine the area of a right triangle, unless the triangle is stated to be isosceles, or there is some other information that allows determination of the length of a side in addition to the hypotenuse. The area of a right triangle with a given hypotenuse only approaches zero as one of the two acute angles approaches zero degrees.

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

Related questions

If it has no right angles, it is not a right triangle and therefore you cannot name a hypotenuse of that triangle. Which implies you cannot find that side's measure.

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

In a right angle triangle the side which is opposite to the right angle is the hypotenuse.

If it has no right angles, it is not a right triangle and therefore you cannot name a hypotenuse of that triangle. Which implies you cannot find that side's measure.

First of all, you have to make sure that it's a RIGHT triangle. That means that one of the angles in the triangle is 90 degrees. If not, then it's not a right triangle, and it doesn't have a hypotenuse. If it IS a right triangle, then the longest side is the hypotenuse.

You can't as there is no hypotenuse in an equilateral triangle. The hypotenuse is the side of a triangle which is opposite a right angle (90°); all angles in an equilateral triangle are 60°.

If it's a right angle triangle then the other 2 angles areacute

The hypotenuse only is not sufficient to determine the area of a right triangle, unless the triangle is stated to be isosceles, or there is some other information that allows determination of the length of a side in addition to the hypotenuse. The area of a right triangle with a given hypotenuse only approaches zero as one of the two acute angles approaches zero degrees.

When it is an isosceles right angled triangle: with angles that are 90-45-45.

Angles are acute, not sides.

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

then the triangle is not a right trangle and has angles that are not 90 degrees.