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The hypotenuse of a 45°-45°-90° triangle measures units.

What is the length of one leg of the triangle?

7 units
units
14 units
units

The hypotenuse of a 45°-45°-90° triangle measures units. What is the length of one-example-1

2 Answers

1 vote

Answer:

7 units on edg

Explanation:

User Annapoorni D
by
8.6k points
1 vote

Answer:

7 units

Explanation:

In an isosceles right triangle, the hypotenuse is √2 times the leg length. Then ...

... 7√2 = leg·√2

... 7 = leg . . . . . . . divide both sides by √2

_____

Comment on isosceles right triangle

If the legs are both length 1, the Pythagorean theorem tells us ...

... hypotenuse² = 1² +1² = 2

... hypotenuse = √2 . . . . . . . . . square root both sides of the equation

This result can be scaled by any multiplier you like. In this problem, the scale factor is 7, making the legs 7 and the hypotenuse 7√2.

User AdamV
by
7.8k points

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