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3 years ago

In the accompanying diagram, isosceles triangle ABC has coordinates A(-4,0), B(4,0), C(0,4). Find the area of ABC.

Mathematics

1 answer:

kari74 [83]3 years ago

4 0

Answer:

The area of triangle ABC is $16\ units^{2}$

Step-by-step explanation:

we know that

The area of a triangle is equal to

$A=\frac{1}{2}(b)(h)$

In this problem we have

$b=AB=4-(-4)=8\ units$ ---> the length of the base b is the difference of the x-coordinates between A and B

$h=OC=4-0=4\ units$ ---> the height h is the difference of the y-coordinates between C and the origin O

substitute the values in the formula

$A=\frac{1}{2}(8)(4)$

$A=16\ units^{2}$

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Julli [10]

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4 years ago

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4 years ago

There were 254 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper box tickets

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This can be solved by creating a system of equations.
x + y = 254
12.5x + 10y = 2745
We can then use substitution to solve the system.
x = 254 - y
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So, there were 82 of the lower box tickets sold and 172 of the upper box tickets sold.

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3 years ago

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JulsSmile [24]

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First day:

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3 years ago

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3 years ago