complete the statements:
To find the length of the hypotenuse of a 45-45-90 triangle, multiply the length of one of the legs by:?
Could the answer be .5???
to find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by:?
To find the length of the hypotenuse of a 30-60-90 triangle, multiply the length of the hypotenuse by:?
I checked- I know that this question says hypotenuse twice, but...
Thanks.
The ratios of sides of a 45-45-90 triangle are 1:1:√2
so you would multiply the length of one of the legs by √2 (which is not .5 !)
the ratios of sides of a 30-60-90 triangles are 1:√3:2
so, to find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by 1/√3
You should be able to answer the third part by yourself.
To find the length of the hypotenuse of a 45-45-90 triangle, you can use the Pythagorean theorem. In a 45-45-90 triangle, the two legs are congruent, so if you know the length of one leg, you can find the length of the other leg by multiplying it by the square root of 2. However, to find the length of the hypotenuse, you need to multiply the length of one of the legs by the square root of 2 as well, not 0.5.
Therefore, the correct statement would be: To find the length of the hypotenuse of a 45-45-90 triangle, multiply the length of one of the legs by the square root of 2.
For the second statement, to find the length of the shorter leg of a 30-60-90 triangle, you can again use the Pythagorean theorem. In a 30-60-90 triangle, the ratio of the lengths of the three sides is 1:sqrt(3):2. So, if you know the length of the longer leg (opposite the 60-degree angle), you can find the length of the shorter leg by multiplying it by sqrt(3).
Therefore, the correct statement would be: To find the length of the shorter leg of a 30-60-90 triangle, multiply the length of the longer leg by the square root of 3.
As for the third statement, it seems to be a mistake in phrasing. Since the hypotenuse is already the longest side in any right triangle, it doesn't make sense to find the length of the hypotenuse by multiplying it by anything. The length of the hypotenuse in a 30-60-90 triangle can be calculated using the Pythagorean theorem, given the lengths of the other two sides.
If you have the length of the shorter leg (opposite the 30-degree angle), you can calculate the length of the hypotenuse by multiplying it by 2. If you have the length of the longer leg (opposite the 60-degree angle), you can calculate the length of the hypotenuse by multiplying it by the square root of 3.
Thus, the corrected statement for finding the length of the hypotenuse of a 30-60-90 triangle would be: To find the length of the hypotenuse of a 30-60-90 triangle, use the Pythagorean theorem with the lengths of the other two sides.
To find the length of the hypotenuse of a 45-45-90 triangle, you need to multiply the length of one of the legs by √2.
No, the answer cannot be 0.5. The correct answer is √2.
To find the length of the shorter leg of a 30-60-90 triangle, you need to multiply the length of the longer leg by 0.5 (√3).
To find the length of the hypotenuse of a 30-60-90 triangle, you need to multiply the length of the shorter leg by 2.