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Alternatives of Postulate 5

The vertex an...

Question

The vertex angle of an isosceles triangle measures $90^{\circ}$ . Find the measure of the base angle .

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Solution

$\begin{matrix} W e k n o w t h a t t h e t w o a n g l e s o f t h e i s o s c e l e s t r i n g l e i s e q u a l N o w L e t t h e b a s e a n g l e b e x t h e n x + x + 90 = 180 2 x = 180 - 90 2 x = 90 x = \frac{90}{2} ∴ x = 45 H e n c e, t h e b a s e a n g l e o f t h e a n g l e o f i s o s c e l e s t r i a n g l e i s 45^{\circ} . \end{matrix}$

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Alternatives of Postulate 5

Standard IX Mathematics

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