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

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Solution

ANSWER:
(a) acute-angled
Let the angles measure $3 x °, 5 x ° a n d 7 x^{\circ}$ .
Then,
$3 x + 5 x + 7 x = 180 ° \Rightarrow 15 x = 180 ° \Rightarrow x = 12^{\circ}$
Therefore, the angles are $312 ° = 36 °, 512 ° = 60 ° a n d 712 ° = 84^{\circ}$ .
Hence, the triangle is acute-angled.

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