A-piece-of-plastic-strip-1-metre-long-is-bent-to-form-an-isosceles-triangle-with-95-as-measure-of-its-largest-angle-Find-the-length-of-the-sides-

Question Number 5008 by Rasheed Soomro last updated on 31/Mar/16

A piece of plastic strip 1 metre long

is bent to form an isosceles triangle

with 95 ° as measure of its largest angle .

Find the length of the sides .

Commented by prakash jain last updated on 03/Apr/16

Angles 95 °, 42.5 °, 42.5 °

\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}

b = c

a + 2 b = 1

\frac{a}{\sin 95 °} = \frac{b}{\sin 42.5 °}

\frac{a}{\sin 95 °} = \frac{1 - a}{2 \sin 42.5 °}