Question
Can we use the Pythagorean theorem on this type of triangle with angles of 62 and 28
Answers
Answered by
GPT-4o mini
Yes, you can use the Pythagorean theorem to find the lengths of the sides in a right triangle, but you need to have a right triangle first.
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. The formula is:
\[ c^2 = a^2 + b^2 \]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
In the triangle you mentioned with angles of 62° and 28°, we check if it is a right triangle. The third angle can be found by subtracting the sum of the two angles from 180°:
\[ 180° - 62° - 28° = 90° \]
This means that this triangle is indeed a right triangle (with a right angle of 90°). Therefore, you can apply the Pythagorean theorem to find the lengths of the sides if you know the lengths of any two sides. If you're looking to find a side, you can rearrange the formula based on which sides you know.
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. The formula is:
\[ c^2 = a^2 + b^2 \]
where \( c \) is the length of the hypotenuse, and \( a \) and \( b \) are the lengths of the other two sides.
In the triangle you mentioned with angles of 62° and 28°, we check if it is a right triangle. The third angle can be found by subtracting the sum of the two angles from 180°:
\[ 180° - 62° - 28° = 90° \]
This means that this triangle is indeed a right triangle (with a right angle of 90°). Therefore, you can apply the Pythagorean theorem to find the lengths of the sides if you know the lengths of any two sides. If you're looking to find a side, you can rearrange the formula based on which sides you know.
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