Assertion: right triangle's area | /r/HasProperty | equal
Facets:
value: to the interior square
type: OTHER
value: to one half the base
type: OTHER
value: to 3 times their perimeters
type: OTHER
value: to `sqrt(12
type: OTHER
value: interestingly
type: DEGREE
value: in any right triangle
type: LOCATION
value: as with any triangle
type: OTHER
value: numerically
type: DEGREE
Source sentences:
text: As with any triangle, the area is equal to one half the base multiplied by the corresponding height.
text: 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).
text: He treated each side of a right triangle as though it were a square and discovered that the total area of the two smaller squares is equal to the area of the largest square.
text: The area of a triangle is equal to half of the product of its base and height.
text: It is known that right angles were laid out accurately in Ancient Egypt; that their surveyors did use ropes for measurement; that Plutarch recorded in Isis and Osiris (around 100 AD) that the Egyptians admired the 3 : 4 : 5 triangle; and that the Berlin Papyrus 6619 from the Middle Kingdom of Egypt (before 1700 BC) stated that "the area of a square of 100 is equal to that of two smaller squares.
text: It states that 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 on the other two sides.
text: The area of a rectangle is equal to the product of two adjacent sides.
text: The area of a square is equal to the product of two of its sides (follows from 3).
text: The area encompassed by the outer square never changes, and the area of the four triangles is the same at the beginning and the end, so the black square areas must be equal, therefore a2 + b2 = c2.
text: ABC is a right triangle with a perimeter equal to 60 units and an area is equal 150 units2.
text: have areas that are numerically equal to 3 times their perimeters?
text: The area of the biggest square is equal to the sum of the square of the two other small square area.
text: The area of right angle triangle is equal to half of the product of adjacent sides of the right angle, i.e.,
text: Interestingly, the area of all these triangles is equal.
text: Now, the area of that square is equal to the sum of the four triangles, plus the interior square whose side is c. Two of those triangles taken together, however, are equal to a rectangle whose sides are a,
text: The area of the triangle is equal to `sqrt(12*6*4*2) = sqrt(576)
text: The area of the large outer square is equal to the area of the small, tilted square plus the area of the four right-angled triangles...
text: The area of a triangle is equal to one-half the sine of any angle times the product of the two sides that make the angle.
text: The area of a triangle is equal to one-half the base times the height.
text: If we draw a square on the hypotenuse, and a square on each of the two sides, the area of the square on the hypotenuse is equal to the sum of the squares on the sides.