Question

Need help with working backwards for a formula.

Answer 1

An isosceles triangle has an area of 175^2. If the base is 16ft, what is the length of each leg?

A. 44.5ft
B.27.1ft
C.23.3ft
21.9ft

Answer 2

You should find "h" by using the formula of calculating the area of this triangle

Answer 3

\[A=\frac{bh}{2}\]

Answer 4

Once you've gotten 'h', divide the triangle in half then calculate the side 'L'

Answer 5

So it's 175 = 16*x/2 so far, right? how would I calculate it?

Answer 6

If it's not 176^2 then yes

Answer 7

I guess it's possible to plug in the different numbers too to see if it matches....

Answer 8

it is 175^2 tho

Answer 9

I'm working on it, I think I figured it out maybe?

Answer 10

Are the numbers squared or just the units?

Answer 11

175 is the only squared thing. 16 and the possible answers are units.

Answer 12

What did you get?

Answer 13

I don't think I'm doing this correctly...the closest answer I have is A

Answer 14

I did 16*44.5 and got 186.4...pretty sure I'm not doing this right

Answer 15

No that's not right

Answer 16

What do you have for 'h'?

Answer 17

\[175=\frac{16h}{2}\]

Answer 18

I'm somehow completely lost even though you're walking me through this.

H is one of the answers, right? I put all the answers in the formula and didn't get 175 for any of the answers.

Answer 19

wait! hold on

Answer 20

No, the 'h' is the height of the triangle, and they want you to find the leg, which is 'L'.

Answer 21

I was making a mistake

Answer 22

So, we're gonna find the height first, then find the leg using Pythagoras theroem

Answer 23

is it 21 something? the height?

Answer 24

21.9*16/2 = 174.4, so...

Answer 25

Yea and it's 21.875

Answer 26

oh good

Answer 27

Now use Pythagoras theorem to find the leg

Answer 28

I don't know how to do that for an isosceles triangle