Respuesta :
The length of the new base is 26.56 inches or [tex]26\frac{14}{25}[/tex] inches. Using the area of a right triangle, the required base is calculated.
How the area of a right triangle is calculated?
The area of the right triangle is given by
A = [tex]\frac{1}{2}[/tex] × b × h sq. units
Where A -area; b -base; h -height;
Calculation:
It is given that,
The right triangle has a base of length b = 8 1/2 = 8.5 inches and a height of length h = 12 1/2 = 12.5 inches.
So, its area is
A = [tex]\frac{1}{2}[/tex] × 8.5 × 12.5 = 53.125 sq. inches
When the height of the right triangle is reduced to 4 inches,
53.125 = [tex]\frac{1}{2}[/tex] × b × 4
⇒ b = 53.125/2
∴ b = 26.56 or [tex]26\frac{14}{25}[/tex] inches
Thus, the length of the new base is 26.56 or [tex]26\frac{14}{25}[/tex] inches.
Learn more about the area of a right triangle here:
https://brainly.com/question/17335144
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