Answer:
h = 3 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 7 [tex]\frac{7}{8}[/tex] = [tex]\frac{63}{8}[/tex] ← expressed as an improper fraction
and b = 5 [tex]\frac{1}{4}[/tex] = [tex]\frac{21}{4}[/tex], thus
[tex]\frac{1}{2}[/tex] × [tex]\frac{21}{4}[/tex] × h = [tex]\frac{63}{8}[/tex], that is
[tex]\frac{21}{8}[/tex] h = [tex]\frac{63}{8}[/tex]
Multiply both sides by 8 to clear the fractions
21h = 63 ( divide both sides by 21 )
h = 3
