Question

the base of a triangle is 7 cm more than its height. if the area is 294 square centimeter, find the base and the height of the triangle.

Answer 1

Thank you. :)

Answer 2

your welcome..

Answer 3

what is the representation for that?

Answer 4

\[294={1\over2}(7+h)(h)\]

Answer 5

Can you solve for h?

Answer 6

294=1/2 (7h+h squared)

Answer 7

is that correct?

Answer 8

Yes.

Answer 9

Now, bring 1/2 over to the other side.

Answer 10

so it become 294-1/2= 7x+x squared

Answer 11

No. when you bring over a fraction, it becomes inverted/multiplied

Answer 12

\[294 \times{2 \over 1} =7h+h^2\]

Answer 13

what happened to the fraction?

Answer 14

hmm... Let me explain it in another way.

Answer 15

so it become 588? right?

Answer 16

yes.

Answer 17

So now,

\[588=7h+h^2\]

Answer 18

because... \[{588 \over 1}=588\]

Answer 19

You still following?

Answer 20

then it become h squared+7h - 588? right?

Answer 21

yes.

Answer 22

Yes. :)

Answer 23

now you can use the quadratic equation to solve.

Answer 24

you know how to, right?

Answer 25

yes

Answer 26

Good. :)

Answer 27

how can i saw our conversation before?

Answer 28

is the answer 24 and 28?

Answer 29

\[{-b \pm \sqrt{b^2-4ac}} \over 2a\]

Answer 30

do only the plus.

Answer 31

it's not 24 but -28 is correct. This one is the one you don't need to use.

Answer 32

its 21 and 28

Answer 33

yes. The answer is 21 since you only want the positive integer.

Answer 34

so h=21.

What is the base? 7+h=?

Answer 35

21+7 = 28

Answer 36

yes.

Answer 37

so the base is 28, the height is 21.