NO LINKS!! Find the missing length indicated. The triangle is similar.

Question

asked Apr 19, 2023 194k views

2 Answers

Ninca · Answer 1 · 2023-04-25T23:51:44+0000

Answer:

DB = 143 units

Explanation:

In similar triangles, corresponding sides are always in the same ratio.

If ΔDCB ~ ΔDRS then:

$\implies \sf DC : DR = CB : RS = DB : DS$

From inspection of the given diagram:

Therefore:

$\implies \sf 91 : 35 =DB : 55$

$\implies \sf (91)/(35) =(DB)/(55)$

$\implies \sf 55 \cdot (91)/(35) =55 \cdot (DB)/(55)$

$\implies \sf 143=DB$