Find angles and sides of a triangle:

Given that the height = 20m and the area = 20m^2

What formulas should I use to calculate the angles and the sides?

Best regards

 

Find angles and sides of a triangle:

Given that the height = 20m and the area = 20m^2

What formulas should I use to calculate the angles and the sides?

Best regards

Draw what you believe is the figure representing the problem and post it here.

Formulas with no reasoning are like recipes.

 

Could you answer the question if it was a rectangle rather than a triangle. That is the only way I can think of giving you a hint on how to do it without giving the answer.

Les.

 

Is there a unique solution?

If there is a unique solution (i.e. a single solution) then you are missing a vital piece of information.

 

Its ok I figured it out. Thanks for your input.

 

Could you show the solution?

 

Yes of course here is my solution

 

Are you sure?

Consider the following construction:

1) Draw a horizontal line.
2) Draw 20 m vertical line upward starting from some point on the horizontal line.
3) Pick a random point on the horizontal line and draw a line segment from that point to the top of the vertical line.
4) Move along the horizontal line to the right until the area of the triangle formed by the top of the vertical line, the randomly picked point, and the current location is equal to 20 m².

Is it your assertion that the resulting triangle must look like your solution?

 

um... you said area is 20 m^2 and height is 20 m. Now, magically, area is 18 and height is 18.

 

Find angles and sides of a triangle:

Given that the height = 20m and the area = 20m^2

What formulas should I use to calculate the angles and the sides?

Best regards

Area = 1/2 B x H, so 20 =1/2 B x 20

Transpose the formula for B..

 

Hi Dave,
II was hoping the question I asked in post #3 was a good enough hint to the method you have just suggested.
Les.

 

Area = 1/2 B x H, so 20 =1/2 B x 20

Transpose the formula for B..

How does that help address the TS's problem?

For instance, consider the following two triangles which have the same height and the same area.



Yes, they thus have the same base. So what?

They clearly do NOT have the same angles or the same sides, which is what the TS is supposed to find.