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Altitudes

In a Δ ABC a ...

Question

In a $Δ$ ABC a perpendicular of 6 cm is dropped on to the base BC which meets at D. What is the height of $Δ$ ABC ?

7 cm

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4 cm

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5 cm

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6 cm

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Solution

The correct option is D 6 cm
A base is perpendicular to altitude and side of the triangle.

The height of the triangle is the length of the altitude drawn to its base.

Here, the base of the triangle is mentioned as BC so height is the length of altitude drawn to BC. Hence, it is 6 cm.

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Question 36

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , BC = 3 cm and AC = 5 cm, then the length of side AB is

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

Δ A B C, A D

∠ A,

B C

D

A B = 10 c m

A C = 14 c m

B C = 6 c m

B D

D C

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