Question

If triangle dgh is congruent to triangle def find the value of x

Answer 1

Answer:

x = 25

Step-by-step explanation:

$\triangle DGH\sim\triangle DEF... (given)$

$\frac{DG}{DE} =\frac{GH}{EF}$

$\frac{52}{91} =\frac{x+3}{2x-1}$

$\frac{4}{7} =\frac{x+3}{2x-1}$

4(2x - 1) = 7(x + 3)

8x - 4 = 7x + 21

8x - 7x = 21 + 4

x = 25