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kirill115 [55]
2 years ago
10

Calculate the area of triangle ABC with altitude CD, given A (−3, −4), B (−6, 2), C (0, 0), and D (−4, −2). a. 14 square units b

. 15 square units c. 18 square units d. 20 square units

Mathematics
1 answer:
babymother [125]2 years ago
3 0

Answer:

  b. 15 square units

Step-by-step explanation:

We notice from the graph that AB is the hypotenuse of a right triangle 3 units wide and 6 units high. The Pythagorean theorem tells you the length of that will be ...

  AB = √(3^2 +6^2) = √45 = 3√5

Similarly, altitude CD is the hypotenuse of a right triangle 4 units wide and 2 units high, so its length will be ...

  CD = √(4^2 +2^2) = √20 = 2√5

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(3√5)(2√5) = 15 . . . square units

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Answer:

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2 years ago
a cartoon holds 1.248 liters of fruit juice. what is this amount rounded to the nearest tenth? use the number line below.
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<span>amount rounded to the nearest tenth of 1.248 should be 1.2
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3 years ago
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Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The
MaRussiya [10]
The speed of one car is 'S'.  The speed of the other car is (S + 10).

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torisob [31]

Answer:

\large\boxed{\cos\theta=\pm\dfrac{2}{3}}

Step-by-step explanation:

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Substitute:

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