Question

In traiangle OAB is corresponding in triangle OCD if AB=8cm, BO=6.4cm , OC=3.5 and CD=5cm, find OA and DO

Answer 1

Answer:DO = 4 cm

OA= 5.6 cm

If both the given triangles are similar(it is not clear in the question)

than the ratio of corresponding sides will be equal

∆OAB ≈ ∆OCD

then

OA/OC = AB/CD = OB/OD

$\frac{8}{5} = \frac{6.4}{DO} \\ \\ DO = \frac{6.4 \times 5}{8} \\ \\ DO = 0.8 \times 5 \\ \\ DO = 4.0 \: cm$
and
$OA/OC = AB/CD \\ \\ \frac{OA}{3.5} = \frac{8}{5} \\ \\ OA = \frac{8 \times 3.5}{5} \\ \\ = 8 \times 0.7 \\ \\ OA= 5.6 \: cm$
Hope it helps you.

Answer 2

Answer:

the answer is attached