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Posted by **Anonymous** on Saturday, October 17, 2009 at 1:11pm.

- Math-Triangles -
**Sara**, Saturday, October 17, 2009 at 1:35pmUse the pythagorean formula(a²=b²+c²)

a= hypotonuse

b= side

c= side

- Math-Triangles -
**Anonymous**, Saturday, October 17, 2009 at 1:40pmI don't understand. There are two triangles, they are called similar triangles.

The first triangle has

Side A is 18

Side B is 27

Side C or hypotonuse is x

Second Triangle

Side A is 14

Side B is 21

Side C or hypotonuse is 28

- Math-Triangles -
**Sara**, Saturday, October 17, 2009 at 1:51pmfor the first one:

The first triangle has

Side A is 18

Side B is 27

Side C or hypotonuse is x

you are trying to find the hypotenuse right? The hypotenuse of a right triangle is the longest side. The square of the hypotenuse is equal to the sum of the squares of the other two sides. You have the length of the other two sides which are 18 for side A and 27 for side B. Now you just have to square them, add them together and take the square root.

- Math-Triangles -
**Sara**, Saturday, October 17, 2009 at 1:55pmI don't understand what you're solving for the Second triangle. You have both the side lengths and the hypotenuse. Are you trying to find the area of this problem?

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**Sara-can you help me with this problem**, Saturday, October 17, 2009 at 1:57pmI am not getting the correct answer. And what is the significance of the second triangle?

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**Anonymous**, Saturday, October 17, 2009 at 2:12pmThat was my question as well. I believe this is solving for similar triangles...or why else would the second triangle be part of the problem? What is the significance of the second triangle? And I am not getting a legitimate answer solving for x.

- Math-Triangles -
**Anonymous**, Saturday, October 17, 2009 at 2:16pmI think it is 36. The difference between side A is 4 and the differences between side B is 6, so the difference between side c would be 8, I just don't know how to show the calculations.

- Math-Triangles -
**jim**, Saturday, October 17, 2009 at 2:25pmI answered this below, but you didn't specify that the triangles are similar in the original question.

That means that the clue is in my original answer.

- Math-Triangles -
**Anonymous**, Saturday, October 17, 2009 at 2:30pmAh! okay! I will go check it out!

- Math-Triangles -
**Sara**, Saturday, October 17, 2009 at 2:40pmsorry, I explain it more clearly to you.

for the first one:

The first triangle has

Side A is 18

Side B is 27

Side C or hypotonuse is x

The sum of the areas of the squares attached to the hypotenuse equals the area of it. Ex. The hypotenuse is A©÷ and the other 2 are B©÷ and C©÷. A©÷+B©÷=C©÷

Example find the area of square attached to hypotenuse:

C©÷ =A©÷+B©÷

=2©÷+4©÷ (2*2) +(4*4)

=4+16

=20cm sqared.

other examples: A©÷+B©÷=C©÷ = C©÷=A©÷+B©÷

C=hypotenuse A/B= 2 legs/sides

this is applied only to right traingles.

finding length of hypotenuse when lengths of 2 legs are known

C©÷=a+b

C=(3)+(4)

C=9+16

¡îC =¡î25

C=5

sorry i don't know how to put the square sign. Hopefully my examples will help. I don't have math this semester, thats why it's kin of hard for me to help you.

- Math-Triangles -
**Sara**, Saturday, October 17, 2009 at 2:41pmOMG that is really wierd I don't know where the © came from. This is seriously not what i wrote.

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**Sara**, Saturday, October 17, 2009 at 2:42pmNever mind, I think Jim has helped you:-) All the Best.

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**jim**, Saturday, October 17, 2009 at 2:43pmSara, I understand what you're doing, but I think the question wasn't put clearly.

Neither of the triangles here is right-angled.

The two triangles are similar: their sides have the same ratio.

We know one is 2*7:3*7:4*7 and the other is 2*9:3*9:x and we need to find x.

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**Sara**, Saturday, October 17, 2009 at 2:45pmOh, no wonder, Now I understand, thanks.

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**Anonymous**, Saturday, October 17, 2009 at 2:45pmThank you both of you. Sorry to confuse you guys. Yes, the triangles are similar. I think I solved it, is x 36?