Respuesta :

msm555

Answer:

[tex] \textsf{Area} = 30 \, \textsf{in}^2 [/tex]

Step-by-step explanation:

To find the area of a triangle, we can use the formula:

[tex] \Large \boxed{\boxed{\textsf{Area} = \dfrac{1}{2} \times \textsf{Base} \times \textsf{Height} }}[/tex]

Given the values:

  • Base = 10 in.
  • Height = 9 in.

Substitute these values into the formula:

[tex] \textsf{Area} = \dfrac{1}{2} \times 10 \, \textsf{in} \times 6 \, \textsf{in} [/tex]

[tex] \textsf{Area} = 5 \, \textsf{in} \times 6 \, \textsf{in} [/tex]

[tex] \textsf{Area} = 30 \, \textsf{in}^2 [/tex]

So, the area of the triangle is [tex]30 \, \textsf{in}^2[/tex].