The first angle of a triangle is tripe the second angle.The thrid angle of the triangle is 14 degrees less than the second angle.

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sciencesolve's profile pic

sciencesolve | Teacher | (Level 3) Educator Emeritus

Posted on

Supposing that you need to find the angle of triangle, you need to remember the equation taht relates the internals angles of triangle, such that:

`hat A + hat B + hat C = 180^o`

Since the problem provides the information that hat A is triple hat B yields:

`hat A = 3 hat B`

The problem also provides the information that `hat C` is `14^o` less than hat B, such that:

` C = B - 14^o`

You need to substitute `3 hat B` for `hat A` and` hat B - 14^o` for `hat C` in equation that relates the internal angles of triangle, such that:

`3 B + B + B - 14^o = 180^o`

`5hat B = 180^o + 14^o => hat B = 194^o/5`

`hat B = 38^o 48'`

You may evaluate hat A such that:

`hat A = 3 hat B => hat A = 116^o 24'`

`hat C = 38^o 48' - 14^o = 24^o 48'`

Hence, evaluating the internal angles of triangle `Delta ABC` , under the given conditions, yields `hat A = 116^o 24' ; hat B = 38^o 48' ; hat C = 24^o 48'.`

harsha2359's profile pic

harsha2359 | Student, Undergraduate | (Level 1) eNoter

Posted on

Let angles be A, B, C.

Assume A = 3B..  C = B-14

We know sum of angles of triange = 180 degrees.

A+B+C = 180

3B + B + B-14 = 180

B = 38.8 degrees

A = 116.4 degrees

C = 24.8 degrees

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