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AURORKA [14]
3 years ago
11

how do you find the length of the hypotenuse when you have only the length of the altitude of the hypotensuse and a length of a

leg?
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

By using The Pythagorean Theorem:

/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \

/Hypotenuse/ = \sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}

Step-by-step explanation:

The Pythagorean theorem states that: Given a Right-angled triangle, the square of the hypotenuse equals the sum of squares of the other two sides ( Here, being the length of the altitude and length of leg). That is,

/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \ and hence,

/Hypotenuse/ = \sqrt\ /Length of altitude/^{2} + /Length of leg/^{2} \}

For example, If the length of the altitude is 4m and the length of leg is 3m. Using The Pythagorean theorem, the length of the hypotenuse will be

/Hypotenuse/^{2} = /Length of altitude/^{2} + /Length of leg/^{2} \\\/Hypotenuse/ = \sqrt{/Length of altitude/^{2} + /Length of leg/^{2}} \\/Hypotenuse/ = \sqrt{4^{2} + 3^{2}  }

/Hypotenuse/ = \sqrt{16+9} \\/Hypotenuse/ = \sqrt{25} \\/Hypotenuse/ = 5m

The length of the hypotenuse for the given example will be 5m.

This is how to find the length of an hypotenuse.

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