[tex]\boxed{h=7cm}[/tex]
Explanation:
The formula for finding the area of any triangle is given by:
[tex]A=\frac{bh}{2} \\ \\ \\ Where: \\ \\ b:base \\ \\ h:height[/tex]
Let's assume a value for the area, we know that:
[tex]b=5\frac{1}{4}cm=(5+\frac{1}{4})cm=\frac{21}{4}cm=5.25cm \\ \\ A=\frac{147}{8}cm^2=18.375cm^2 \\ \\ h=?[/tex]
Finding h:
[tex]A=\frac{bh}{2} \\ \\ \\ Isolating \ h: \\ \\ h=\frac{2A}{b} \\ \\ h=\frac{2(18.375)}{5,25} \\ \\ h=7cm[/tex]
Learn more:
Area of triangle using distance formula:
https://brainly.com/question/9835350
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