The angles of a triangle are in the ratio 1:3:5. What is the measure, in degrees, of the largest angle?

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vinit Share
Dec 3, 2015

Answer:

we know that the sum of angles of the triangle is #color(red)(180^@#
lets say any angle is #x#

Explanation:

now as the angles are in ratio of #1:3:5#, we multiply 1,3,5 by #x#
now angles are #x#, #3x#,#5x#
the sum pf these angles should be #180^@#
#:.x+3x+5x=180^@#
#:.9x=180^@#
#:.x=180^@/9#
#:.x=20^@#
now the largest angle will be #5x#
hence angles are,
#x=20^@#
#3x=3*(20^@)=60^@# and
#5x= 5*(20^@)=100^@#
now the largest angle among these is #100^@#
( you can check that sum of angles is # 20^@+60^@+100^@=180^@#)

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