Question

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Answer 1

Answer:

2.4

Step-by-step explanation:

This is a right angled triangle.So the shortest altitude would be a perpendicular drawn from the right angled base to the hypotenuse.

Let the hypotenuse be divided into x and 5-x. (Draw the figure accordingly)

16-x^2=9-(5-x)^2

⇒ 7=-25+10x

⇒ x=3.2

answer is √(16-(3.2)^2)

= √(16-256/25)

= √144/25

= 12/5

= 2.4