∆ABC ~ ∆PQR, AC = 8cm, PR = 4 cm, QR = 6 cm then find BC.
Answers
Answer:
if triangle ABC equal to triangle pqr is equal to 8 cm and PR equal to 4 cm and QR is equal to 6 CM
Step-by-step explanation:
faster we have to draw a of AC and then draw the sides line of a triangle like PR and QR and in the same way draw the triangle store triangle pqr is equal to abc
Answer:
Ratio of area∆ABC and area ∆PQR = \frac{16}{9}
9
16
Step-by-step explanation:
By Theorem:
The ratio of the areas of two similar triangles is equal to the ratio of the squares of their corresponding sides.
Here,
∆ABC ~ ∆PQR
BC = 8 cm,
QR = 6 cm
Ratio of area∆ABC and area ∆PQR
= Ratio of the squares of their corresponding sides
= \frac{BC^{2}}{QR^{2}}
QR
2
BC
2
= \frac{8^{2}}{6^{2}}
6
2
8
2
= \frac{64}{36}
36
64
= \frac{16}{9}
9
16
Therefore,
Ratio of area∆ABC and area ∆PQR = \frac{16}{9}
9
16