Draw a isosceles triangle ABC in which AB=AC=6cm and BC=5cm. Construct a triangle PQR similar to triangle ABC in which PQ=8cm. A

Question

sweet-ann [11.9K]

2 years ago

5

Draw a isosceles triangle ABC in which AB=AC=6cm and BC=5cm. Construct a triangle PQR similar to triangle ABC in which PQ=8cm. A

lso justify the construction

Mathematics

1 answer:

xenn [34] · Answer 1 · 2022-01-20T14:49:34+03:00

xenn [34]2 years ago

5 0

Answer:

See the diagram

Step-by-step explanation:

$ABC \cong PQR\\\Rightarrow \frac{PQ}{AB} =\frac{PR}{AC}=\frac{QR}{BC} \\\frac{PQ}{AB}=\frac{PR}{AC}\\ \\Since \ AB=AC\\PQ=PR\\PR=8cm\\\\\frac{PQ}{AB}=\frac{QR}{BC}\\\\QR=\frac{PQ}{AB} \cdot BC\\\\QR=\frac{8}{6} \cdot 5\\\\QR=\frac{20}{3}$