Given: right triangle abc with altitude prove: a2 + b2 = c2 complete the paragraph proof. you can use the similar triangles formed by the altitude to write ratios for corresponding sides. using ratios from the large and medium triangles, = . this can be rewritten as = a2. using ratios from the large and small triangles, = . this can be rewritten as b2 = ec. by substitution, a2 + b2 =. you can then factor as a2 + b2 = c(f + e). from the large triangle, you know (f +
e.=. so, a2 + b2 = c2 by using substitution.

Respuesta :

1) a/f

2)cf

3)c/b

4)cf + ec

5)c

Right triangles are triangles that has a measure of 90 degrees, as one of its angles.

The proof of the right-triangle is: [tex]\mathbf{a^2 + b^2 = c^2}[/tex]

From the complete question (see attachment), we have:

[tex]\mathbf{c = f + e}[/tex]

By Pythagoras theorem, we have:

[tex]\mathbf{a^2 + b^2 = (f + e)^2}[/tex]

Substitute [tex]\mathbf{c = f + e}[/tex]

[tex]\mathbf{a^2 + b^2 = c^2}[/tex]

Hence, the proof of the right-triangle is: [tex]\mathbf{a^2 + b^2 = c^2}[/tex]

Read more about right-triangles at:

https://brainly.com/question/15345177

Ver imagen MrRoyal