Given right triangle ABCABC with altitude \overline{BD}
2 answers:
Answer:

Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:

Plug in the values


Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values





Take the square root of both sides




Answer:
6
Step-by-step explanation:
\frac{\color{darkorange}{x}}{\color{darkgreen}{4}}=
4
x
=
\,\,\frac{\color{darkorange}{9}}{\color{darkgreen}{x}}
x
9
Use the longer leg over the shorter leg in the smaller triangle and the middle triangle
x^2=
x
2
=
\,\,36
36
Multiply both sides by 44 and xx
\sqrt{x^2}=
x
2
=
\,\,\sqrt{36}
36
Square root both sides
x=
x=
\,\,6
6
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