Question

391. If the measure of the angles of
a triangle are in the ratio 1:
2 : 3 and if the length of the
smallest side of the triangle
is 10 cm., then the length of
the longest side is:
(a) 20 cm (b) 25 cm
(c) 30 cm
398.AT
SC
12
(d) 35 cm
(SSC CGL Tier-I 2016)
diu

Answer 1

Answer = 20cm

Explanation = Let angle x,2x,3x

x+2x+3x = 180

( therefore, sum of internal angle of a ∆ )

6x = 180

x = 30°

So, angle = 30,60,90

Smallest side of ∆ = 1 unit = 10cm

Largest side of ∆ = 2 Units = 20cm