Angles of a triangle are in the ratio 1:2:3. Construct this triangle with side between the two smaller angles as 10cm. Measure the other two sides.

Asked by sahatemali | 17th Nov, 2018, 07:54: PM

Expert Answer:

angles are in the ratio 1:2:3 ;  let angles are x, 2x and 3x .
hence we have,   x+2x+3x = 6x = 180° or  x = 30°
hence angles are 30°, 60° and 90°.
Draw AB of length 10 cm. draw begin mathsize 12px style angle end styleCAB = 60° and draw begin mathsize 12px style angle end styleCBA = 30° .
we get triangle ABC as per requirement and it is shown in figure.
Other sides are found to be 5 cm and 8.7 cm

Answered by Thiyagarajan K | 18th Nov, 2018, 02:30: AM

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