Question

# The angles of a triangle are in the ration 3 : 5 : 7. The triangle is (a) acute-angled (b) obtuse-angled (c) right-angled (d) an isosceles triangle

Solution

## (a) acute-angled Let the angles measure . Then, $3x+5x+7x=180°\phantom{\rule{0ex}{0ex}}⇒15x=180°\phantom{\rule{0ex}{0ex}}⇒x=12°$ Therefore, the angles are . Hence, the triangle is acute-angled.MathematicsRS Aggarwal (2020, 2021)All

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