Question

The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.

A right triangle is shown. The hypotenuse has a length of 7 StartRoot 2 EndRoot and the lengths of the other 2 sides are congruent.

What is the length of one leg of the triangle?

Answer 1

Answer:

A. 7

Step-by-step explanation:

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Answer 2

The length of one leg of the given triangle is 1 unit.

What is Pythagoras theorem?

The square of the hypotenuse is equal to the sum of the squares of other two sides.

Given the following parameters;

Hypotenuse = √2

If the lengths of the other two sides are congruent, thus;

x² + x² = (√2)²

2x² = 2

x² = 2/2

x² = 1

x = 1

Hence, the length of one leg of the triangle is 1 unit.

Learn more on pythagoras theorem here:

brainly.com/question/343682

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