Question

If DGH ~ DEF, Find the value of X

Answer 1

`x=25`

Explanation:

we know that

DGH ~ DEF ---> given problem

Remember that

If two triangles are similar, then the rtio of its corresponding sides is proportional and its corresponding angles are congruent

so

`(DG)/(DE)=(GH)/(EF)`

substitute the given values

`(52)/(91)=(x+3)/(2x-1)`

`(2x-1)52=(x+3)91\\104x-52=91x+273\\104x-91x=273+52\\13x=325\\x=25`