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

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

I managed to find out that the answer is yes, if two right triangles with the same length hypotenuse have the same area.

Can a triangle form a rectangle?

Honest answer: no, since a rectangle requires 90-degree corners, and every angle inside an equilateral triangle is 60-degrees. The only multiple of 90 that you can make is 180-degrees (or any multiple of it). You can make rhombs, but no rectangles.

Do two right triangles make a square?

a) Relationship between a square and an isosceles right triangle: a square is formed by two isosceles right triangles, so the area of the right isosceles triangle is half that of a square whose side measures the same as the equal sides in the triangle.

When an altitude is drawn to the hypotenuse of a right triangle three similar triangles are formed?

Theorem 62: The altitude drawn to the hypotenuse of a right triangle creates two similar right triangles, each similar to the original right triangle and similar to each other. Figure 2 shows the three right triangles created in Figure . They have been drawn in such a way that corresponding parts are easily recognized.

Can a hypotenuse equal a leg?

The hypotenuse leg (HL) theorem states that; a given set of triangles are congruent if the corresponding lengths of their hypotenuse and one leg are equal.

What is the difference between the area of the triangle and the length of the hypotenuse of the triangle?

Pythagorean theorem In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

What type of triangles do you need to form a rectangle?

Rectangle. A rectangle has opposite sides which are equal and parallel. It also has four right angles. The diagonals are equal and split a rectangle into four isosceles triangles.

What is the hypotenuse leg?

In a right-angled triangle, the hypotenuse is the longest side which is always opposite to the right angle. The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle’s hypotenuse and leg side.

How to calculate the hypotenuse of a right triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²) Given angle and one leg. c = a / sin(α) = b / sin(β), from the law of sines. Given area and one leg.

When are two right triangles of the same shape congruent?

Two right triangles are congruent if the hypotenuse and one leg are equal. See Triangle Congruence (hypotenuse leg). AAA does not work. If all the corresponding angles of a triangle are the same, the triangles will be the same shape, but not necessarily the same size.

How do you find the adjacent and opposite of a hypotenuse?

The adjacent and opposite can only be found if you choose one of the non right angled angles. The adjacent is the side that forms the angle of choice along with the hypotenuse. The opposite is the side that does not form the angle of choice. How do you find the altitude of a hypotenuse?

When is the included side of a triangle equal?

A pair of corresponding sides and the included angle are equal. See Triangle Congruence (side angle side). A pair of corresponding angles and the included side are equal. See Triangle Congruence (angle side angle). A pair of corresponding angles and a non-included side are equal. See Triangle Congruence (angle angle side).