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# Properties of Triangles

Given a triangle with side lengths of 5, 12, and 14, is the largest angle in the triangle acute, right, or obtuse? Geometric knowledge helps us deduce much about triangles from limited information.

In \(ABC \), sides \(AB\) and \(AC\) are equal in length and \(\angle A\) measures \(80^\circ\).

If the points **D**, **E**, and **F** are on sides **BC, CA,** and **AB** respectively, such that \( CE= CD,BF=BD\), then what is \( \angle EDF \)?

The sides of a right triangle are \(a\), \(a+d\) and \(a+2d\) with \(a\) and \(d\) both positive. What is the value of \(a:d\)?

**Note**: Image drawn not up to scale.

Arjit drew an isosceles right angled triangle on the board. What is the measure of the base angle?

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