What is the height of a triangle with an area of 192 square centimeters and
a base of 24 centimeters?
168 centimeters
8 centimeters
16 centimeters
4 centimeters

What is the height of a triangle with an area of 192 square centimeters and a base of 24 centimeters 168 centimeters 8 centimeters 16 centimeters 4 centimeters class=

Respuesta :

Answer:

[tex]Height=16\,cm[/tex]

Step-by-step explanation:

Area of a triangle :

                  [tex]\dfrac{1}{2}\times Base \times height[/tex]

For,

[tex]Area=192\,cm^2\\\\Base=24\,cm[/tex]

      [tex]192=\dfrac{1}{2} \times 24 \times Height\\\\192= 12\times Height\\\\Height=\dfrac{192}{12} \\\\Height=16\,cm[/tex]

The height of the triangle is: [tex]16\,cm[/tex]