Answer:
x = 5
Explanation:
This uses the altitude on hypotenuse theorem
The 2 triangles formed are similar to the given triangle and to each other.
Δ ADB ~ Δ BDC
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
4x² = 100 ( divide both sides by 4 )
x² = 25 ( take the square root of both sides )
x =
= 5