Respuesta :

Answer:

63.64 cm^2

Step-by-step explanation:

[tex]area = \frac{(base)(height)}{2}[/tex]

Given the height and base do as follows:

\frac{(14.3)(8.9)}{2}[/tex]

\frac{127.27}{2}[/tex]

Area = 63.635

Round to 2 decimal places:

Area = 63.64 cm^2

The area of the triangle is 63.635 cm².

Area of a right angle Triangle

The area of a right-angle triangle is half the product of the base of the triangle and the height of the triangle.

[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\ [/tex]

Given to us

  • height of the right triangle, h = 8.9 cm
  • base of the right triangle, b = 14.3 cm

Area of the triangle

substituting the values in the formula of area of a right angle Triangle,

[tex]\rm{ Area \triangle = \dfrac{1}{2} \times base \times height\\ [/tex]

            [tex]= \dfrac{1}{2} \times 14.3\times 8.9\\\\ = 63.635\ cm^2[/tex]

Hence, the area of the triangle is 63.635 cm².

Learn more about Area of triangle:

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