Question

In ∆ABC, X, Y and Z are the midpoints of AB, BC and CA respectively.
AB: BC: CA = 7:9:10 and XZ = 9 cm, find the perimeter of ∆ABC​

Answer 1

perimeter of triangle is 52 cm

•In traingle ABC & AXY

•Line joining the mid points of two

sides of triangle is parallel to third

side

i.e. XY || BC

•In traingle ABC & AXY

<A = <A

<X = <B ( Corresponding angles)

<Y = <C

traingle ABC is similar to AXY

=> XY/BC = 1/2 ( corresponding

parts of similar triangle)

BC = 18 cm

•Now, let AB = 7x

BC = 9x

CA = 10x

9x = 18

x = 2

AB = 14 cm

BC = 18cm

CA = 20 cm

• perimeter of triangle is 52 cm

Answer 2

Answer:

67

Step-by-step explanation:

8900