Find the hypotenuse of the red triangle

[hgphtgi]

Hello Guys

could you please help me to find the hypotenuse for the red triangle please.



regards

 

[jedishrfu]

you have a 3-4-5 right triangle the hyp is bisected

with a little thought you have the answer before you

 

[hgphtgi]

you have a 3-4-5 right triangle the hyp is bisected

with a little thought you have the answer before you

thanks jedishrfu for your reply but can you explain to me more, because i did't understand what did you mean pls.

regards

 

[Feodalherren]

First use the Pythagorean theorem to solve for the hypotenuse of the left triangle, you will get the ratios of all the sides you need and solving for (??) will be a simple algebra problem.

 

[HallsofIvy]

There is NO red triangle. What you have in red is a trapezoid. Do you mean the triangle all the way up to the vertex of the large triangle? If so, you know that its legs have length 3 and 4 and you can find the length of the hypotenuse using the Pythagorean theorem. If you actually mean the length of the red section as shown, you will need more information. jedishrfu is assuming that the red goes half way up the small triangle but I don't see any reason to assume that.

By the way- with the lengths as given, the angle can't be exactly 40 degrees, though it is pretty close- about 38.6 degrees.

 

[Villyer]

Is it possible that the large triangle isn't a right triangle?

There is nothing that I see to indicate that it has to be.

 

[jedishrfu]

yes, good point. why mention theta=40 and not show the right angle? This is another one of those "don't trust the diagram" problems. I retract my original suggestion, I was fooled by the apparent 3-4-5 triangle.

 

[hgphtgi]

you have a 3-4-5 right triangle the hyp is bisected

with a little thought you have the answer before you

yes, good point. why mention theta=40 and not show the right angle? This is another one of those "don't trust the diagram" problems. I retract my original suggestion, I was fooled by the apparent 3-4-5 triangle.

the angle i assumed it, not real value. Got it? please help guy

tnx

 

[jedishrfu]

the angle i assumed it, not real value. Got it? please help guy

tnx

if you're saying its a rt triangle then you have the answer from my original post

 

[LCKurtz]

if you're saying its a rt triangle then you have the answer from my original post

Not unless you know how far up the little triangle the red goes.

 

[SammyS]

Hello Guys

could you please help me to find the hypotenuse for the red triangle please.

regards

There is NO red triangle. What you have in red is a trapezoid. Do you mean the triangle all the way up to the vertex of the large triangle? If so, you know that its legs have length 3 and 4 and you can find the length of the hypotenuse using the Pythagorean theorem. If you actually mean the length of the red section as shown, you will need more information. jedishrfu is assuming that the red goes half way up the small triangle but I don't see any reason to assume that.

By the way- with the lengths as given, the angle can't be exactly 40 degrees, though it is pretty close- about 38.6 degrees.

Here's that image displayed directly:

There's a red trapezoid, but as HallsofIvy said, there's no red triangle !

 

[Villyer]

I feel like the diagram doesn't have nearly enough clarity to answer this question.

Are the sides of the quadralateral in the bottom right of the triangle perpindicular to the sides of the triangle, or is the quad a parallelgram?

 

[hgphtgi]

I feel like the diagram doesn't have nearly enough clarity to answer this question.

Are the sides of the quadralateral in the bottom right of the triangle perpindicular to the sides of the triangle, or is the quad a parallelgram?

yes Villyer , the quadrilateral is perpendicular to the sides of the triangle.

Tq