Do two right triangles with the same hypotenuse have the same area?

If two right triangles have common hypotenuse, they may be or may not be equal in area. The same way they may be or may not be congruent. It’s not necessary that they are necessarily congruent or have equal area. It totally depends on one of the sides or one of the angles of 2 triangles.

Can the hypotenuse be the same length as other side?

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).

Can the sides of a right triangle all be the same length?

or may not, be of equal length. Note: It is possible for a right triangle to also be scalene or isosceles.

Are all right triangles in which the hypotenuse is twice as long as one of the legs similar?

Isosceles Right ( )Triangle Theorem: In an isosceles right ( ) triangle, the hypotenuse is times as long as a leg. Triangle Theorem: In a triangle, the hypotenuse is twice as long as the shorter leg and the longer leg is times as long as the shorter leg.

Can a triangle have 2 hypotenuse?

Can a hypotenuse equal a leg?

The hypotenuse is the longest side of a right triangle, so a right triangle can never have a leg equal to the length of any leg of any right triangle.

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.

How do you find the hypotenuse of a right triangle with two equal sides?

Given two right triangle legs Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

Can you use Pythagorean Theorem with only the hypotenuse?

Note that the Pythagorean Theorem only works with right triangles. You can use the Pythagorean Theorem to find the length of the hypotenuse of a right triangle if you know the length of the triangle’s other two sides, called the legs.

Do two identical right triangles with the same length hypotenuse have?

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). Do two, not identical right triangles with the same length hypotenuse have the same area?

How do you find the hypotenuse of a right angle triangle?

The formula to find the hypotenuse is given by the square root of the sum of squares of base and perpendicular of a right-angled triangle. The hypotenuse formula can be expressed as; Where a is the perpendicular, b is the base and c is the hypotenuse. Given: A right triangle ABC, right-angled at B.

How do you find the length of another side of a triangle?

Using the hypotenuse to find another side Pythagoras’ theorem can also be used to find the length of another side of a triangle using the hypotenuse. The square on the hypotenuse subtracted by the square on another side is equal to the square on the remaining side.

What is the product of sides of a triangle with hypotenuse 5?

Well, the product of the sides of a right triangle with integer length sides is a multiple of 30, so if the hypotenuse is 5 then one of the other sides, which are necessarily shorter, must be 3 (because in order for them to multiply up to 30 at least one of them must have 3 as a factor, and 3 is the only multiple of 3 less than 5).