Answer:
x = 10
Explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
=
( substitute values )
=
, that is
=
( cross- multiply )
52(48 + 5x) = 56 × 91 = 5096 ( divide both sides by 52 )
48 + 5x = 98 ( subtract 48 from both sides )
5x = 50 ( divide both sides by 5 )
x = 10