Question

Find the area of the isosceles triangle. 25m , 25m , -7m

Answer 1

Hello, do you have a picture?

Answer 2

You have three options.

1. Take a screenshot and post a link
2. Use the drawing tool and draw it out
3. Download the image/picture and post it here using the "Attach File" function

Answer 3

After we get the picture, we can help you properly

Answer 4

Alright, this is the same as the other problem we did on Brainly. The only difference is that they gave you the length of the base of one of the right triangles, so it's easier.

Answer 5

So use the Pythagorean Theorem to find the height of the triangle.

\(\sf a^2+b^2=c^2\)

Where 'a' and 'b' are the two legs and 'c' is the hypotenuse.

Answer 6

@danielaaxrosas89 Can you plug in the values?

Answer 7

Would it be 25^2 + 25^2=-7^2 ?

Answer 8

No, we're trying to find the other leg of the triangle. We have one leg(7m) and one hypotenuse(25m).

Answer 9

Try it again.

Answer 10

@danielaaxrosas89 Still there?

Answer 11

Yes

Answer 12

Would the other leg be -7 too?

Answer 13

That's not -7, it's 7...you can't have a negative measurement.

Answer 14

We don't know what the other leg is, that's what we're trying to find. We know one of them is 7m, and the hypotenuse is 25m. Plug them into the Pythagorean Theorem and solve for the missing leg.

Answer 15

Can you do that?

Answer 16

@danielaaxrosas89

Answer 17

I keep trying but to be honest no.

Answer 18

Okay, we can put in '7' for either 'a' or 'b', it doesn't matter, but we have to put in '25' for 'c'.

Answer 19

I did, but it didn’t match one of my 4 answers. Unless I solved it wrong...

Answer 20

\(\sf a^2 + 7^2 = 25^2\) or \(\sf 7^2 + b^2 = 25^2\)

Either one works.

Answer 21

Mind showing what you did?

Answer 22

And I keep getting the same answer, 24.

Answer 23

The one on the bottom looks right. You didn't finish it though.

\(\sf 7^2 + b^2 = 25^2\)

\(\sf 49 + b^2 = 625\)

Answer 24

Subtract 49 to both sides and then take the square root of both sides, what do you get?

Answer 25

I got 24 again...

Answer 26

That's correct, we're not done though. That just gives us the height of the triangle. Now use the area formula.

Answer 27

\(\sf A=\dfrac{1}{2}bh\)

We just figured out the height, what's the base?

Answer 28

Is it 49?

Answer 29

The base? No. It's an isosceles triangle, so the distance from center to the other end must also be 7m. 7 + 7 = 14...so the base is 14. Now just plug them in and calculate.

Answer 30

I got 84

Answer 31

I got something else, try again...

\(\sf A=\dfrac{1}{2}(14)(24)\)

Answer 32

Is it 168?

Answer 33

Yep! I got that as well.

Answer 34

Alright, do you have time for more? If not, I appreciate your help! Now I understand these problems a bit more.

Answer 35

Yes, I do.

Answer 36

You can close this question and open a new one.

Answer 37

Alright thanks (: