Question

triangle xyz similar to triangle pqr area of triangle xyz equal to 25 CM square and the area of triangle pqr is equals to 100 cm square if x y is equals to 8 cm then find the length of PQ​

Answer 1

The ratio of the area of similar triangles is equal to the square of ratio of their corresponding sides,

Hence, for similar triangles ΔXYZ and ΔPQR,

⇒ area(ΔXYZ)/area(ΔPQR) = (XY/PQ)2

⇒ 100/25 = (XY/4)2

⇒ 10/5 = XY/4

⇒ XY = (10 × 4)/5 = 8 cm

∴ Length of XY = 8 cm

Answer 2

Step-by-step explanation:

If two triangles are equals than the ratio of their square is equal to the ratio of their corresponding sides.

∴

arc(△PQR)

arc(△ABC)

=

QR

2

BC

2

⇒

49

25

=

(9.8)

2

BC

2

⇒

7

5

=

9.8

BC

⇒BC=

7

9.8×5

=7.0cm

2