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Solve for the other leg and for the hypotenuse of the 45-45-90 triangle

Solve for the other leg and for the hypotenuse of the 45-45-90 triangle-example-1
User JRP
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1 Answer

3 votes

Answer:

4th answer option

Explanation:

both side angles are 45°, that makes the triangle an isoceles triangle (both legs are equally long).

therefore, v = 7.

Pythagoras gives us

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90° angle), a and b being the legs.

in our case

u² = 7² + 7² = 49 × 2

u = sqrt(49 × 2) = 7 × sqrt(2)

User Roman Yakoviv
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