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What is the length of the hypotenuse?
O 6 cm
O 62 cm
O 12 cm
O 122 cm

User Joe Enos
by
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2 Answers

2 votes
Is there a picture of the triangle or any measurements other than multiple choice
User Kukanani
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The length of the hypotenuse can be found to be the value of D. 12 √ 2 .

How to find the length of the hypotenuse ?

In a 45-45-90 right triangle, the two legs are congruent (they have the same length), and the hypotenuse is √2 times longer than each leg.

Given that each leg measures 12 cm, you can find the length of the hypotenuse as follows:

Hypotenuse = √2 x (length of each leg)

Hypotenuse = √2 x 12 cm

Now, calculate the length of the hypotenuse:

Hypotenuse = 12 * 1.4142 (approximate value of √2)

Hypotenuse =16.97 cm (rounded to two decimal places)

So, the length of the hypotenuse of the 45-45-90 right triangle is approximately 16.97 cm or 12 √ 2.

User Nelva
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