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
1 answer:
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
You might be interested in
Answer:
p=0.063
Step-by-step explanation:
Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.
X is N(375, 8)
YOu are collecting a sample size of
n = 8
Findings from the sample
(Left tailed test at 5% level)
Since sample size is small though sigma is known we use Z test, since norm
Mean difference = -5
Std error =
Test statistic t = mean diference / std error =
df = n-1 =5
p value = 0.063