Yes.
yes 3 --- 6| |9
No.
The lengths of the sides of the triangle are: 2*sq rt of 10, 5*sq rt of 2 and sq rt of 10 The 3 sides added together equals the perimeter which works out as 3* sq rt of 10 plus 5*sq rt of 2 in surd form
No, it does not. As far as I'm only in 5th grade advanced class
It is B
No, it is not.
yes 3 --- 6| |9
No.
No, you cannot construct a triangle with side lengths 2 yd, 9 yd, and 10 yd. This is because the sum of the lengths of the two shorter sides (2 yd + 9 yd = 11 yd) must be greater than the length of the longest side (10 yd) to satisfy the triangle inequality theorem. Since 11 yd is greater than 10 yd, these lengths do not form a triangle.
true
true
To find the range of possible lengths for the third side of a triangle with sides of lengths 3 and 6, we use the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side. Therefore, the third side (let's call it ( x )) must satisfy the inequalities: ( x < 3 + 6 ) and ( x > 6 - 3 ). This results in ( x < 9 ) and ( x > 3 ), so the possible lengths of the third side range from greater than 3 to less than 9, or ( 3 < x < 9 ).
To determine if the lengths 4, 3, and 6 can form a triangle, we can use the triangle inequality theorem, which states that the sum of any two sides must be greater than the third side. For these lengths: 4 + 3 = 7, which is greater than 6; 4 + 6 = 10, which is greater than 3; and 3 + 6 = 9, which is greater than 4. Since all conditions are satisfied, the lengths 4, 3, and 6 can indeed form a triangle.
Yes, a triangle can have side lengths of 6, 8, and 9. To determine if these lengths can form a triangle, we can apply the triangle inequality theorem, which states that the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 6 + 8 > 9, 6 + 9 > 8, and 8 + 9 > 6 all hold true, confirming that a triangle can indeed be formed with these side lengths.
A scalene triangle.
An equilateral triangle has three sides of equal length.
right angle triangle