# Tutor.com Linear Equations Session

##### May. 31, 2012

Session Transcript - Math - Algebra, 5/17/2012 5:27PM - Tutor.comSession Date: 5/17/2012 5:27PM
Length: 30.3 minute(s)
Subject: Math - Algebra

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Damez (Customer)
[00:00:02] This is the problem- " the area is of a triangle is 51 square meters. The height is one- half the length of the base. What is the approximate height of the triangle?" The answer choices are a) 7.0 b) 7.1 c) 14.0 d) 14.3 I I know the area of a triangle, but I'm confused on how to start it.

Kevin M (Tutor)
[00:00:06] Welcome to Tutor.com ! Let's get started.

Damez (Customer)
[00:00:22] Thank you. Okay.

Kevin M (Tutor)
[00:01:51] Would you like me to draw a triangle to help you get started?

Damez (Customer)

Kevin M (Tutor)
[00:03:12] Let's start by identifying the formula to find the area of a triangle
[00:03:22] What's the formula for the area of a triangle?

Damez (Customer)
[00:03:58] A= b* h/2

Kevin M (Tutor)
[00:04:18] That's right!!
[00:04:31] And we know A is equal to 51 square meters

Damez (Customer)
[00:04:43] Yes

Kevin M (Tutor)
[00:04:59] What is the height equal to?

Damez (Customer)
[00:05:32] One half the lenght of the base

Kevin M (Tutor)
[00:05:58] Good!
[00:06:57] Now if we plug in 1/2*Base for the Height can we solve for the Height by using the equation?

Damez (Customer)
[00:07:29] Hmm, let me try that .

Kevin M (Tutor)
[00:07:36] Ok.

Damez (Customer)
[00:10:04] I don't think so.
[00:10:20] Por maybe I'm doing it wrong .

Kevin M (Tutor)
[00:10:30] Well let's try to work it out together on the board...
[00:11:08] I'm not sure what you have there...

Damez (Customer)
[00:11:34] Well I plugged in the .5 as the height

Kevin M (Tutor)
[00:12:15] We're trying to find the height so we don't need to plug anything in for the height....

Damez (Customer)
[00:12:44] Oh, right

Kevin M (Tutor)
[00:13:30] I substituted Height with 1/2*base...
[00:13:34] Does that make sense?

Damez (Customer)
[00:13:55] Yeah, yeah. It does

Kevin M (Tutor)
[00:14:05] Good!!
[00:14:29] So first we can solve for base then use that to find the height...
[00:14:46] How can we find the base from the equation I have with the red arrows?

Damez (Customer)
[00:15:35] Don't we have to get rid of the 2 first?

Kevin M (Tutor)
[00:15:52] Sure! We can do that
[00:17:08] What do we do next?

Damez (Customer)
[00:17:30] So now the area would be 102 . And our new formula would be 102= ( base* 1/2 base) ?

Kevin M (Tutor)
[00:17:41] Right!!
[00:18:00] How do we find what base is equal to?

Damez (Customer)
[00:18:07] Awesome, okay. Well this is where I'm stuck now,

Kevin M (Tutor)
[00:18:24] Oh ok

Damez (Customer)
[00:18:40] Don't we sort of have to devise 102 by 1/2?

Kevin M (Tutor)
[00:19:00] Right!
[00:19:16] What will our equation look like after we do that?

Damez (Customer)
[00:20:00] 204= (base*base)?

Kevin M (Tutor)
[00:20:12] You got it!!
[00:20:21] And what is base*base?

Damez (Customer)
[00:20:44] So would it be 204= base^2?

Kevin M (Tutor)
[00:20:56] That's right!!!
[00:21:09] So what do we do next?

Damez (Customer)
[00:21:30] So now I just have to find the radical of both of the numbers?

Kevin M (Tutor)
[00:21:46] Right!
[00:21:57] You're doing great!!
[00:22:07] What is the radical of 204

Damez (Customer)
[00:22:36] 14.3

Kevin M (Tutor)
[00:23:10] Good!! So now that we know the base is 14.3 meters then how do we find the height?

Damez (Customer)
[00:23:08] And so our final answer would be D right?

Kevin M (Tutor)
[00:23:35] Not quite...

Damez (Customer)
[00:24:23] Would we multiply 14.3 by .5?

Kevin M (Tutor)
[00:24:36] That's right!!

Damez (Customer)
[00:25:02] So that's 7.15

Kevin M (Tutor)
[00:25:58] Well the base was equal to 14.28285686...
[00:26:13] So if you multiply that by .5 you get 7.14
[00:26:35] Which rounds to 7.1...

Damez (Customer)
[00:26:43] Yeah, I sort of rounded that to 14.3

Kevin M (Tutor)
[00:27:00] Yea, it's ok.
[00:27:26] If you're using a calculator you should just keep it as it is until you finish the problem to round...
[00:27:41] Does everything make sense in this problem?

Damez (Customer)
[00:28:10] S then our final answer wild be 7.14 which would round to 7.1 and that wiould make our answer B?

Kevin M (Tutor)
[00:28:22] That's right!!!

Damez (Customer)
[00:28:28] So * would *

Kevin M (Tutor)
[00:28:39] Yes!

Damez (Customer)
[00:28:37] Yes, it does! Thank you!
[00:28:53] It was actually easier than I thought
[00:29:00] Thank you!

Kevin M (Tutor)
[00:29:20] Great!! It was a pleasure working with you today!! It seems like you have a good grasp on everything. If you need any more help feel free to sign back on and one of us tutors would be happy to help you!!
[00:29:30] Thanks for using Tutor.com.Â Please fill out the survey as you leave so we can learn how we can better help you in the future!Â
[00:29:52] I hope you have a great day!!!

Damez (Customer)
[00:30:05] You too. Thank you once again