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Question

The anlges of a triangle are in ratio 3 : 5 : 7. The triangle is

(a) Acute angled

(b) Obtuse angled

(c) Right angled

(d) An isosceles triangle


Solution

ANSWER:
(a) acute-angled
Let the angles measure 3x°,5x°and7x.
Then,
3x+5x+7x=180°15x=180°x=12
Therefore, the angles are 312°=36°,512°=60°and712°=84.
Hence, the triangle is acute-angled.


Mathematics
Secondary School Mathematics IX
Standard IX

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