The interior angles of four triangles are given below: Triangle Interior Angles P 85^{\circ}, 50^{\circ}, 45^{\circ} Q 100^{\circ}, 55^{\circ}, 25^{\circ} R 100^{\circ}, 45^{\circ}, 35^{\circ} S 130^{\circ}, 30^{\circ}, 20^\circ Which of the triangles are ill-conditioned and should be avoided in Triangulation surveys?

Correct Answer is : Both Q and S

GATE Civil Engineering (CE) 2019 Shift 1 Solved Paper

Question : 19 of 65

Marks: +1, -0

The interior angles of four triangles are given below:

Which of the triangles are ill-conditioned and should be avoided in Triangulation surveys?

Solution:

A triangle is said to be ill condition when angle is less than

30^{∘}

and more than

120^{∘}

.
So, triangle

{S}

is ill conditioned.
For well conditioned of triangulation two angle should not be almost equal.
So, only triangle

{Q}

or triangle

{R}

is ill-conditioned
So, ill-condition

{S}

and

{Q}

{S}

and

{R}

. option

{S}

and

{Q}

is given. So option (b) correct.

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