First make sure that this is a valid right triangle
Since 25 x 25 = (24 x 24) + (7 x 7) we are assured that it is truly a right triangle with 25 as the hypotenuse and the other two sides being 7 and 24 linear units. Then we can use the formula for area of triangle as (1/2) x base x height which in our case would be (1/2) x 7 x 24 = 7 x 12 = 84 square units
You need THREE sides for a triangle. Once you have them, you can check with the Pythagorean theorem whether it is a right triangle: the square of the longest side must be equal to the sum of the squares of the other two sides.
We know that a right triangle is a triangle having a right angle, where the side opposite the right angle is the hypotenuse, and the perpendicular sides are the legs of the right triangle. The Pythagorean theorem gives the relationship between the lengths of the sides of a right triangles. In the case where you know only the measure lengths of the sides of a triangle, you need to test these measures. If one of the sides of the triangle has a square measure equal to the sum of the square measures of two other sides, then this side is called the hypotenuse and opposite to this side is a 90 degree angle, which is a right angle. So, you can say that this triangle is a right triangle. Pythagorean triple are very helpful to determine a right triangle, such as: (3, 4, 5), (5,12,13), (8, 15, 17), (7, 24, 25), and (20, 21, 29).
false In order for this to be a right triangle, the sum of the squares of the two shorter sides would have to equal the square of the longest side. 102=100 242= 576 272=729 102+242= 676, which does not equal 272=729, so a triangle with these lengths is not a right triangle.
Using Pythagoras it works out as 24*square root of 2 which is about 34 feet
If it is then 742 would equal 702 + 242. 742 = 5476; 702 = 4900, 242 = 576. Pythagoras is satisfied so your triangle is indeed right-angled.
Yes, it is.
The sides are 6 and 8 and so the area is 0.5*6*8 = 24 cm2.
Does 742 = 242 + 702? If so, it is a right-angled triangle; if not, it isn't...
No because it does not comply with Pythagoras; theorem if the lengths were 10, 24 and 26 then it would be.
Yes because they comply with Pythagoras' theorem for a right angle triangle
it is 24in The area of the first triangle is 24 [(6*8)/2]. The area of the smaller triangle is 12 [24/2]. The two legs will have a relationship of [4/3x to x], the same as any right triangle.
Acute |> Answer wrong for e2020
True because it complies with Pythagoras' theorem.
An isosceles right triangle is a 90 degree triangle that the two non-hypotenuse sides are equal. http://mathworld.wolfram.com/IsoscelesRightTriangle.html Area of a triangle is 1/2 x b x h Area of an isosceles right triangle is 1/2 b2 144 cm2 = 1/2 b2 2 (144 cm2) = 2(1/2 b2) 288 cm2 =b2 16.97 cm = b So the base and height each equal 16.97 cm The hypotenuse can be solved by the Pythagorean Theorem a2 + b2 = c2 288 + 288 = c2 576 = c2 (576).5 = (c2).5 24 = c So the sides of an isosceles right triangle with the area of 144 cm2 are 16.97 cm, 16.97 cm, and 24 cm.
There is an easy way to check if they are sides of a right triangle using a calculator. The two shorter sides (24 and 143) are sides A and B, while the longest side (the hypotenuse if it ends up being a right triangle) is side C. The triangle is only considered right if A2+B2=C2.For your question, A2 is 242, which is 576.B2 is 1432, or 20449.C2 is 1452, 21025.20449+576=21025, so This is a right triangle.
A triangle is right triangle if square of the longest side is equal to sum of squares of other two sides. Square of 24 = 576 Sum of square of 9 and 21 = 92 + 212 = 81 + 441 = 522 576 ≠522. It is clear that triangle is not a right triangle.
YES. 18 and 24 are the two leg lengths and 30 is the hypotenuse then by Pythagoras' Theorem :- 182 + 242 = 302 324 + 576 = 900......which is true and therefore the three side lengths 18, 24 and 30 do form the sides of a right-angled triangle.