Geometry basic question III 2023

In a right angled triangle, one of the acute angles is four times the other. What is the measure of the smallest angle of the triangle?
(a)15°
(b)18°
(c)20°
(d)22°

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What is the length of the altitude of an equilateral triangle of side 4 cm?
(a)4 cm
(b)6 cm
(c)2√3 cm
(d)2 cm

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2.
If a triangle has two sides having lengths 8 units and 12 units, which of the following can be the length of the third side?
(a)2 units
(b)4 units
(c)6 units
(d)All of these

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3.
What is the area (in cm) of a triangle with sides 6 cm, 8 cm and 10 cm?
(a)34
(b)24
(c)12
(d)None of these

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5.
A triangle has three internal angles in the ratio of 3 : 4 : 5. What is the value of the greatest external angle?
(a)57°
(b)90°
(c)135°
(d)Can't be determined

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In ΔABC, D is a point on side BC such that BC = 5 × BD and A(ΔABC) is 100 sq. units. What is the area of ΔABD in sq. units?
(a)20
(b)25
(c)100
(d)12.5

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