Question

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

Answer 1

143

Explanation:

35/55 = 91/x

7/11 = 91/x so 143

Answer 2

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:

• DC = 91
• DR = 35
• DS = 55

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`