Respuesta :

Answer:

[tex]h^2+6^2=10^2[/tex]

[tex]h^2+36=100[/tex]

[tex]h^2=100-36[/tex]

[tex]h^2=64[/tex]

[tex]h=8[/tex]

[tex]A=1/2 ~BH[/tex]

[tex]A=1/2(12)(8)[/tex]

[tex]A=48 ~units^2[/tex]

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Answer:  48 square units

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Explanation:

Draw a vertical line to cut the triangle into two equal parts. You'll get two right triangles.

The horizontal leg of one of those smaller triangles is 12/2 = 6 units. The hypotenuse is 10 units. Through the pythagorean theorem, you should find the vertical leg is 8 units.

We have a 6-8-10 right triangle.

The area of this smaller triangle is base*height/2 = 6*8/2 = 48/2 = 24 square units.

So the area of the larger triangle is 2*24 = 48 square units.

Ver imagen jimthompson5910