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A triangle has two sides of lengths 5 and 13. What value could the length of the third side be Check all that apply?
10
A triangle has two sides of lengths 4 and 15. What value could the length of the third side be Check all that apply.?
It could be 12 because the sum of the 2 smaller sides of a triangle must be bigger than its largest side.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
Can 18 24 30 be the side lengths of 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.
How do you find the cosine of a triangle?
For the length you apply this formula, after numbering the sides a²=b²+c²-2bcCosA
A triangle has two sides of lengths 5 and 13. What value could the length of the third side be Check all that apply?
10
A triangle has two sides of lengths 4 and 15. What value could the length of the third side be Check all that apply.?
It could be 12 because the sum of the 2 smaller sides of a triangle must be bigger than its largest side.
Can a triangle have side lengths 6 8 and 9?
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.
What is the length of the hypotenuse of a right triangle with legs of lengths 6 and 8?
Being a right-triangle, apply Pythagoras. Hence h^(2) = a^(2) + b^(2) Substitute h^(2) = 6^(2) + 8^(2) h^(2) = 36 + 64 h^(2) = 100 Square root BOTH sides. h = 10 (The length of the hypotenuse.
How do you calculate angles in a scalene triangle?
If you know the lengths of the sides, you can use the cosine rule. If you have information about other aspects of the triangle, then other formulae will apply.
Can 18 24 30 be the side lengths of 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.
How do you find the cosine of a triangle?
For the length you apply this formula, after numbering the sides a²=b²+c²-2bcCosA
In order to apply the law of cosines to find the measure of an interior angle what is enough to know?
The lengths of all three sides of the triangle APEX:)
How do you find a pythagorean theorem?
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be expressed with the formula (c^2 = a^2 + b^2), where (c) is the length of the hypotenuse and (a) and (b) are the lengths of the other two sides. To apply the theorem, simply measure the lengths of the two shorter sides, square them, add the results, and then take the square root to find the hypotenuse.
How do you work out the adjacent side of a right angle triangle?
To find the length of the adjacent side of a right-angled triangle, you can use trigonometric ratios. If you know the length of the hypotenuse and the angle opposite the desired side, you can apply the cosine function: ( \text{adjacent} = \text{hypotenuse} \times \cos(\theta) ). Alternatively, if you know the lengths of the other two sides, you can apply the Pythagorean theorem: ( a^2 + b^2 = c^2 ), where ( c ) is the hypotenuse, and ( a ) and ( b ) are the other two sides.
How do you find the height of a triangle that has 2 sides that are 3.5cm and 1 side that is 7.5cm?
With great difficulty since such a triangle cannot exist! The sum of lengths of ANY two sides of ANY triangle must be greater than the third side. That does not apply here so it is an impossible triangle.
What is the length of the missing side of a triangle if the sides are 9cm and 12cm?
To determine the length of the missing side of a triangle with sides measuring 9 cm and 12 cm, 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. Therefore, the missing side must be less than 21 cm (9 + 12) and greater than 3 cm (12 - 9). Without additional information, the exact length of the missing side cannot be determined, but it must fall within the range of 3 cm to 21 cm.
