Respuesta :

Answer:

[tex]{ \tt{A = \frac{1}{2} bh}} \\ \\ { \tt{bh = 2A}} \\ \\ { \boxed{ \tt{h = \frac{2A}{b} }}}[/tex]

• A is 18 in²

• b is 9 in

[tex]{ \tt{h = \frac{2 \times 18}{9} }} \\ \\ { \tt{h = \frac{36}{9} }} \\ \\ { \boxed{ \tt{h = 4 \: \: in}}}[/tex]

[tex]\large\bf{\underline{Given\: formula:}}[/tex]

[tex]\large\bf{⟹A = \frac{1}{2}\times b \times h}[/tex]

[tex]\large\bf{\underline{By\: rearranging :}}[/tex]

[tex]\large\bf\boxed{⟹ h = 2 \times \frac{A}{b}}[/tex]

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[tex]\large\bf{\underline{In\: given\: triangle:}}[/tex]

  • A = 18 in²
  • b = 9 in²
  • h = ?

[tex]\large\bf{\underline{So, applying\: formula:}}[/tex]

[tex]{⟹ h = 2 \times \frac{A}{b}}[/tex]

[tex]⟹h = 2 \times \frac{18}{9} [/tex]

[tex]\large\boxed{⟹h = 4 \:in}[/tex]

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