Q5 of 23 Page 1

Solve Question:

In Δ RST RS = 6 cm, ∠S = 50°, ST = 7.5 cm. The corresponding sides of ΔRST and ΔUAY are in the ratio 5:4. Construct ΔUAY.

Given,


RS = 6 cm, ∠S = 50°, ST = 7.5 cm.


Draw the Δ RST with given measurements.


By drawing with measurements, we found TR = 5.9 cm



∵ corresponding sides of ΔRST & ΔUAY are in the ratio 5:4



Using ,


⇒ UA = 4.8 CM


Using,


⇒ AY = 6 cm



⇒ UY = 4.72 cm


Construction:


i. Since we took RS as base in that triangle we have to take UA as base



ii. From point A Draw An arc with 6 and from point U take4.72 cm radius and draw an arc that should cut the arc name the intersecting point as y.



iii. Connect Y with U & A



iv. Thus, we constructed ΔUAY.


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