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
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Answer:
$33
Step-by-step explanation:
Given: Addy had 20% off coupon.
The coupon took $8.25 off of the shirt price.
Lets assume the original cost of shirt be "x".
We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.
∴ We can form an equation to know the original price of shirt.
⇒
⇒
Multiplying both side by 5
⇒
∴
Hence, The original cost price of shirt was $41.25.
Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.
Price paid by Addy for her new shirt=
Hence, Addy paid $33 for her new shirt.