Question

Find the value of x.

Answer 1

https://courses.vlacs.org/vlacontent/geometry_v8_gs//assessments-xml/res0078/04_16_61.gif

Answer 2

So-- 4/x 2/x?

Answer 3

hint : geometric mean

Answer 4

altitude = geometric mean of hypotenuse segments

Answer 5

\(\large 4 = \sqrt{2 \times x }\)

Answer 6

Oh okay thank you :)

Answer 7

another way is to, use similar triangle and setup a proportion

Answer 8

the two small triangles are similar :-
\(\large \frac{2}{4} = \frac{4}{x}\)

cross multiply and solve \(x\)

Answer 9

so 8=x?

Answer 10

\(\large \color{red}{\checkmark}\)

Answer 11

Thanks :)

Answer 12

np... u wlc :)