The length of the hypotenuse of an isosceles right triangle is 14. What is the length of each leg of the triangle?

Respuesta :

Answer:

leg = √7 units (approximately 2.65 units)

Step-by-step explanation:

Given a right isoceles triangle with a hypotenuse of 14 units, the two other legs must be congruent in length. Because this is a right triangle, the pythagorean theorem a^2 + b^2 = c^2, can be used.

Since the two legs are congruent, side a = side b. This means that

2leg^2 = hypotenuse.

_____________

2leg^2 = 14 units

÷ 2. ÷2

_____________

leg^2 = 7 units

√ √

____________

leg = √7 units

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