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3 years ago

Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC

Mathematics

1 answer:

BartSMP [9]3 years ago

3 0

9514 1404 393

Answer:

perimeter = 6+2√73 ≈ 23.09 units
area = 24 units²

Step-by-step explanation:

It can help to draw a figure.

The altitude of this isosceles triangle is 8 units, and it splits the base into equal lengths of 3 units. Using the Pythagorean theorem, we find the length of a side to be ...

BC = AC = √(3² +8²) = √73

The perimeter is the sum of the lengths of those two sides and the base:

P = 2(√73) +6 ≈ 23.088 . . . units

The area is given by the formula ...

A = 1/2bh

A = (1/2)(6 units)(8 untis) = 24 units²

The perimeter is 6+2√73 ≈ 23.09 units.

The area is 24 units².

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Hitman42 [59]

Let us assume that cost of each granola bar be $x and that of a cup of yogurt be $y
From person A's purchase, we get
12x + 7y = 15.5; equation A
And from person B's purchase,
6x + 11y = 11.5; equation B
Let us multiply equation B by 2 and subtracting equation A from it, we will get
12x + 22y - 12x - 7y = 23 - 15.5,
=> 15y = 7.5
or, y = 0.5
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3 years ago

Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC​

Triangle ABC has vertices A (1,1) B (7,1) C (4,9) (A)Find the perimeter of triangle ABC. (B) Find the area of triangle ABC