Question

An artist has created a triangular stained glass window and has one
strip of small length left before completing the window. She needs
to figure out the length of left out portion based on the lengths of
the other sides as shown in the figure.​

Answer 1

Answer:

length of left out portion  = 2 cm

Step-by-step explanation:

Let say intersection point is O

& ? = x

BF/FA  = OB/OA

=> x/5 = OB/OA

AE / CE  = OA/OC

=> 3/4 = OA/OC

CD/BD  = OC/OB

=> 10/3 = OC/OB

multiplying all

x/5  * 3/4  * 10/3  = OB/OA  * OA/OC  * OC/OB

=> x/2 = 1

=> x = 2

length of left out portion  = 2 cm

Answer 2

Answer:

2cm

Step-by-step explanation:

Given:

AE = 3cm , EC= 4 cm, CD= 10 cm , AF = 5 cm

let unknown FB be X

USING CEVA'S THEOREM:

answer given in the abovepicture.