Answer :

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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