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Draw an isosceles triangle ABC in …

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Draw an isosceles triangle ABC in which AB=6cm and BC=5cm. Construct a triangle PQR similar to triangle ABC in which PQ=8cm .Also justify the construction

Posted by Seema Kathuria 5 years, 8 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 4 months ago

We have to draw

ΔPQR ~ ΔABC

PQ = 8 cm

∴ {tex}\frac { P Q } { A B } = \frac { 8 } { 6 } = \frac { 4 } { 3 }{/tex} (∵ AB = 6 cm)

So, PQ = QR = 8 cm

So, we have to draw ΔPQR ~ ΔABC with scale factor {tex}\frac { 4 } { 3 }{/tex} > 1 resulting ΔPQR will be larger than ΔABC.

Steps of Construction:

Draw BC = 5 cm
Draw two arcs of 6 cm each from B and C in same direction let it be upside.
Join AB and AC.
Draw acute ∠CBX and mark B, B₁, B₂, B₃, B₄ with compass.
Join B₃C and draw B₄R || B₃C, R is on BC produced.
Again, draw RP || CA. P is on BA produced.

Therefore, ΔPQR ~ ΔABC with PQ = PR = 8 cm. It’s scale factor is {tex}\frac { 4 } { 3 }{/tex}.

0Thank You

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CBSE > Class 10 > Mathematics