Hello!

Let's find the area and see!

A = s^2

A = 3^2

A = 6 ft^2

Now, if you double 3, you get 6. 3 × 2 = 6 Find the area:

A = 6^6

A = 36 ft^2

ANSWER:

No, the area will not be doubled. The area was 9 ft^2 when the sides were 3 feet long. If you double 9, you get 18, since 9 × 2 = 18.

36 is not the double of 9, so no, the area is not double.

8 0

3 years ago

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Sonja [21]

ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:

Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)

Hypotenuse = √2 units.

So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.

Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.

$AB = \frac{10}{\sqrt{2}}$

$= \frac{10\sqrt{2}}{\sqrt{2}\sqrt{2}}$ to rationalize the radical

$= \frac{10\sqrt{2}}{2} = 5\sqrt{2}$

Thus, each leg is 5\sqrt{2} [/tex].

6 0

2 years ago