Question

ABC is a right-angled triangle whose hypotenuse is AC. If AB : BC = 3 : 4, then the smallest angle of the triangle is :
a)∠A
b)∠B
c)AB
d)∠C

Answer 1

Answer:

ANSWER

Given :-

ABC is a right-angled triangle whose hypotenuse is AC. If AB : BC = 3 : 4, then the smallest angle of the triangle

Solution:-

If Perpendicular and base are in 3 : 4

then Let Hypotenuse be x

x² = 3² + 4² ( For right condition )

● x² = 9 + 16

● x² = 25

● x² = 5 × 5

● [ x = 5 ]

The triangles are

Angle AB = 3x ( Base )

Angle BC = 4x ( Perpendicular)

Angle AC = 5x ( Hypotenuse)

FINAL ANSWER

Therefore as we know 3x is smallest

So; 3x can be considered as smallest

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