Use the Pythagorean Theorem: a2+b2=c2 If the left side is bigger, it's an acute triangle. If the right side is bigger, it's an obtuse triangle. If they are equal, it's a right triangle. (This one gives 676 and 1156, so it is an obtuse triangle)
Yes.
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.
The Pythagorean theorem says; a^2 + b^2 = c^2 a = 6 b = 6 c = 10 6^2 + 8^2 = 100 could be a right triangle
This is a Pythagorean triangle, ie right angled with hypotenuse = 10 feet, so the area is a half of 8 x 6 , ie 24 sqft
10(radical "2") units, or about 14.1 units.
No
Yes.
11, 4, 8
No because the sum of the smaller lengths must be greater than the longest length
The last side length could be between 4 units and 10 units inclusive.
Yes, one side is 5, one side is 10, and the third side can be however long you can make it. As long as it connects with the edges of the side of 5 and the side of 10.
Information about the lengths of two sides of a triangle is insufficient to determine its area.
No because it does not comply with Pythagoras; theorem if the lengths were 10, 24 and 26 then it would be.
When two shapes have proportionally equivalent lengths and angles, they are geometrically similar. For example, take a triangle with sides of length 3, 4, and 5. Another triangle with side lengths 6, 8, and 10 would be geometrically similar to it because its angles are the same and its side lengths are proportional.
Yes and it will be a scalene triangle
If you mean sides of 10, 12 and 16 then yes a triangle be constructed because the sum of its 2 smaller sides is greater than its longest side.
Yes.