# Hypotenuse - RT

A triangle has a hypotenuse of 55 and an altitude to the hypotenuse of 33. What is the area of the triangle?

Result

S = (Correct answer is: N/A)

#### Solution:

$c=55 \ \\ h=33 \ \\ \ \\ h_{2}=c/2=55/2=\dfrac{ 55 }{ 2 }=27.5 \ \\ \ \\ h > c/2 \ \\ h > h_{2} \ \\ 33 > 27.2 \ \\ \ \\ S=c \cdot \ h / 2 \ \\ S=N/A$

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Dr Math
Has no solution due to Thales theorem, that maximum height of a right triangle is half of the hypotenuse

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