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The picture shows a sandwich box: A sandwich box is shown with a right triangle side. The right triangle has hypotenuse 9 cm and base 6 cm. What is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture? 3 centimeters 6.7 centimeters 7.5 centimeters 8 centimeters

The picture shows a sandwich box A sandwich box is shown with a right triangle side The right triangle has hypotenuse 9 cm and base 6 cm What is the approximate class=

Respuesta :

Solution:

In right triangle depicted in the diagram

Hypotenuse = 9 cm

Base = 6 cm

As we know ,By pythagoras theorem

(Hypotenuse)²= (Base)² + (Altitude)²

⇒9²= 6² + (Altitude)²

⇒81 - 36= (Altitude)²

⇒ (Altitude)²= 45

⇒ Altitude = √45=[tex]\sqrt{5\times 5 \times 3}= 5 \sqrt{3}[/tex] cm

So, Altitude = 5 × 1.732=    8.660 cm

So, Approximate minimum height of shelf so that box can fit in the picture described = 8 centimeters  

Answer:

8 centimeters

Step-by-step explanation:

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