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A right triangle has a base of 12 yards and a height of 7 yards. If you were to construct a similar but not congruent right triangle with a base of 26 yards, what would be the height of your new triangle rounded to the nearest tenth?​

Respuesta :

calculista

Answer:

The height the new triangle would be 15.2 yards

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Applying proportion

Let

h ----> the height of the new triangle

[tex]\frac{7}{12}=\frac{h}{26}[/tex]

solve for h

[tex]h=\frac{7}{12}(26)[/tex]

[tex]h=15.2\ yd[/tex]

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