Help me please with this geometry

Mathematics

1 answer:

Tasya [4]3 years ago

6 0

All Triangles are equilateral ( each side = 4)

Area of a Triangle is (B x H)/2. B being the base ( 4) & H the altitude.

WE know that altitude in an equilateral triangle, H = ( side x√3)/2

So H= (4√3)/2 = 2√3

The area of one triangle = (4 x 2√3)/2 = 4√3

And for the 3 triangles the lateral area = (4√3) x 3 = 12√3

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if Mr. arenth wants to put new carpeting in the room shown, how many square feet should he order L= 14ft. W = 6c-8ft. L= 5+3c ft

lubasha [3.4K]

By definition, the area is given by:

$A = w * l$

Where,

w: width

l: length

We have two expressions for the length:

$L = 14\\L = 5 + 3c$

Since the length is the same, we equate both expressions:

$5 + 3c = 14$

From here, we clear the value of c:

$3c = 14 - 5\\3c = 9$

$c = \frac{9}{3}\\c = 3$

Then, we have that the width is given by:

$W = 6c-8$

Substituting the value of c we have:

$W = 6 (3) -8\\W = 18-8\\W = 10$

Finally, the area is given by:

$A = w * l\\A = 10 * 14\\A = 140 ft ^ 2$

Answer:

he should order 140 square feet

5 0

3 years ago

Please help! Please explain and actually help!

stealth61 [152]

Answer:

Step-by-step explanation:

According to the Pythagorean theorem, $a^2+b^2=c^2$ , where a and b are the two legs of a right triangle, and c is the hypotenuse. In this scenario, the two legs are 8 and 15, and we are asked to find the hypotenuse. Plugging the two values in, we have $64+225=c^2$ , where 64 is 8 squared and 225 is 15 squared. Adding, we have the two values as 289. If you don't know your squares, I suggest you take a look at a list or even memorize your squares until 30, but 289 is actually 17 squared. If $c^2=289$ , then c = $\sqrt{289}$ , which is 17.