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3 years ago

Use special right triangle ratios to find the lengths of the other leg and the hypotenuse

Mathematics

2 answers:

Amanda [17]3 years ago

8 0

Answer:

leg = 18

hypotenuse = 18 sqrt(2)

Step-by-step explanation:

We know that sin theta = opp side / hypotenuse

sin 45 = 18 / hyp

hyp sin 45 = 18

hyp = 18 / sin 45

hyp = 18 sqrt(2)

Since this is an isosceles triangle ( the two angles are the same measure), the two legs have to be the same length

leg = 18

morpeh [17]3 years ago

6 0

the lengths of the other leg and the hypotenuse

is 18 units and 18 $\sqrt{2}$ units respectively.

Answer:

Solution given:

Let <C=<B=45°

AB=18 units

BC=?

AC=?

again

By using

By usingspecial right triangle ratios

sin C=opposite/hypotenuse=AB/AC=18/AC

Sin 45=18/AC

AC=18/sin45

AC=hypotenuse=18 $\sqrt{2}$ units

again

Tan A=opposite/adjacent=BC/AB=BC/18

Tan45=BC/18

BC=Tan45*18

BC=length of another leg=18 units.

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JulijaS [17]

Answer:

Simone is correct

Step-by-step explanation:

Given

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$(x_1,y_1) = (-2, 7)$

$(x_2,y_2) = (3, 0)$

Line 2:

$(x_1,y_1) = (2, 1)$

$(x_2,y_2) =(12, -13)$

Required

Is Simone correct?

Slope (m) is calculated using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

For Line 1

$m = \frac{0 - 7}{3 - (-2)}$

$m = \frac{0 - 7}{3 +2}$

$m = \frac{-7}{5}$

$m = -\frac{7}{5}$

For Line 2:

$m = \frac{-13 - 1}{12 -2}$

$m = \frac{-14}{10}$

Divide by 2/2

$m = \frac{-14/2}{10/2}$

$m = \frac{-7}{5}$

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By comparison, both lines have the same slope.

Hence, Simone is correct

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2 years ago

Is 45 greater than 451/2

slava [35]

Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

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Answer:

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