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2 years ago

A right triangle has a leg of 6 and a hypotenuse of 19. What is the other leg

Mathematics

1 answer:

nydimaria [60]2 years ago

5 0

Answer:

5 $\sqrt{13}$ or 18.03

Step-by-step explanation:

Let's call the unknown leg x

Using the Pythagoras rule

19^2 = 6^2 + x^2

361 = 36 + x^2

subtract 36 from both sides

361 - 36 = x^2

325 = x^2

Take the square root of both sides

$\sqrt{325}$ = $\sqrt{x^2}$

$\sqrt{25*13}\\$ = x

x = 5 $\sqrt{13}$ = 18.03

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Answer:

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Step-by-step explanation:

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and also the minor axis of an ellipse is represented as:

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Since the minor axis has a length of 8 units:

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and substituting the values for $a$ and $b$ :

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and finall we simplify the expression to get the equation of the ellipse:

$\frac{x^2}{25} +\frac{y^2}{16} =1$

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