I'm doing my math homework and i cant figure it out!

[♥Shizzle♥]

I went to hotmath.com and It wouldn't help me for this problem! Here it is:

Draw a right triangle w/ an area of 7.5 square units

Draw a acute triangle w/ and area of 7.5 square units

Draw a rectangle with an area 6 square units and w/ a perimeter of 10

PLEASE HELP ME! I cannot figure this out!!!!

[huskerrich]

Shizzle, be certain you know the definitions of right triangle, acute triangle and perimeter. What are the formulas to find area of a triangle and rectangle. assuming you don't know algebra use trial and error to solve for your answer.
I will be here if you ned more help.

[huskerrich]

Shizzle, what are the factors of six

[ElPiedra]

Been a while since I've done this, so please bear with me. If I remember, the Area of a Right Triangle is it's base times half its hight (A=1/2bh)

So to: Draw a right triangle w/ an area of 7.5 square units, simply plug in

7.5=1/2BH, now, without another variable, it's hard, but doable.

So let's grab two numbers and use centimeters. Let's say 12 for the base and 10 for the height. 1/2 12 = 6, 6 *10 = 60cm2

We're a bit short on those, so let's see 13 for base and 11 for height. 1/3 of thirteen = 6.5, 6.5 * 10 = 65cm2

If we were to increase a digit on either side again (14 base and 12 height) it would give us 7*12=84, so that's too much.

Now we know it's between 13-14 Base and 11-12 for height.

between 84 and 65 there's a 19 unit difference, and we want to get to 75, which is +10 to 65. So, if as a total 19 digits, 10 is roughly 5.4 of the total value (note than since final answer is squared, it'd be .54)

.52 divided by two (to give each the 13 and eleven an equal amount) = .27

So we try 13.27 (base) and 11.27 (height) and end up with 7.47ish (no calculator handy, so if anyone can verify that it'd be great)

Assuming your teacher lets you round, this should be ok since no other value for either B or H is given in the original problem. Sorry if it's messy, doing it off the top of my head.

Draw a acute triangle w/ and area of 7.5 square units

Sorry but for this one I'm really blurred on the formula for this one...I'd rather not give info I'm not sure on...

Now the easier one: Draw a rectangle with an area 6 square units and w/ a perimeter of 10

Formula for the width of a rectangle is Area = Width times Height
and a perimeter is the simple addition of all the sides. Since the sides need to add up to 10, I'm going to go out on a limb at the beginning and say Base of 3, width of 2.

Going on pure logic,
the numbers we have which add up to 10 and are divisible by 2 are: 8 and 2, 6 and 4.

Now let's say 8 is the total addition of both bases, (long sides) and 2 is addition of both widths,

that means the length of one base is 4, and the length of one of the widths is 1. Plugging that into the area formula is equal to:
4*1=4,
and that's not what we're after. At this point you could do the same with 6 and 4, or just draw a rectangle with bases of 3 units, and widths of 2 units.

Sorry if it's not a mathematical explanation, I just prefer logic...

Hope this helps some, haven't done this in quite some time, so sorry if some things are opaque.
-ElPiedra

[♥Shizzle♥]

thanks to all of you. i was havin a brain dead moment!! thanks so much!

[ElPiedra]

Anytime :)