- #1
darkmagic
- 164
- 0
Homework Statement
how can i find the length of an oblique triangle given the 3 altitudes (the line drawn perpendicular from a point of the triangle to the opposite side).
I have no idea on how to solve it.
Finding Sides of an Oblique Triangle with Altitudes
- Thread starter darkmagic
- Start date
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- Triangle
In summary, to find the length of the sides of an oblique triangle using altitudes, you can use the Pythagorean theorem or trigonometric ratios. If you only know the length of one altitude, you can use trigonometry to find the adjacent side. The Pythagorean theorem can also be used to find the missing sides if all three altitudes are known. Trigonometric ratios, such as sine, cosine, and tangent, can also be used to find the adjacent side if one altitude and its corresponding angle are known. Other methods, such as the law of cosines or the law of sines, may require more information and are not as commonly used.
how can i find the length of an oblique triangle given the 3 altitudes (the line drawn perpendicular from a point of the triangle to the opposite side).
I have no idea on how to solve it.
- #2
snshusat161
- 214
- 1
Can you provide us with some more data you have for e.g angles or length of altitudes
- #3
Related to Finding Sides of an Oblique Triangle with Altitudes
1. How do you find the length of the sides of an oblique triangle using altitudes?
To find the length of the sides of an oblique triangle using altitudes, you can use the Pythagorean theorem or trigonometric ratios. If you know the length of one altitude and its corresponding angle, you can use trigonometry to find the length of the adjacent side. Similarly, if you know the lengths of all three altitudes, you can use the Pythagorean theorem to find the length of the missing sides.
2. Can you find the sides of an oblique triangle with altitudes if you only know the length of one altitude?
Yes, you can use trigonometry to find the length of the adjacent side if you know the length of one altitude and its corresponding angle. However, you will need to know the lengths of all three altitudes to find the length of all three sides using the Pythagorean theorem.
3. What is the Pythagorean theorem and how is it used to find the sides of an oblique triangle with altitudes?
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 other two sides. This theorem can be used to find the length of the missing side in a right triangle, including in an oblique triangle with altitudes.
4. What are trigonometric ratios and how are they used to find the sides of an oblique triangle with altitudes?
Trigonometric ratios, such as sine, cosine, and tangent, are ratios that relate the side lengths of a right triangle to its angles. These ratios can be used to find the length of the adjacent side in an oblique triangle if you know the length of one altitude and its corresponding angle.
5. Are there any other methods for finding the sides of an oblique triangle with altitudes?
Yes, there are other methods such as using the law of cosines or the law of sines. However, these methods may require more information, such as the lengths of the angles or the lengths of two sides and the included angle. The Pythagorean theorem and trigonometric ratios are the most commonly used methods for finding the sides of an oblique triangle with altitudes.
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