The base of a triangle is 4 meters longer than the height. Find the height if the area of the triangle is 16 square meters.? ​


Sagot :

Answer:

Problem:

The base of a triangle is 4 meters longer than the height. Find the height if the area of the triangle is 16 square meters?

Solution:

[tex]\mathcal{{Formula:\:H\:=\:2\:•}}[/tex][tex]\large{\mathcal{\frac{A}{B}}}[/tex]

  • [tex]\tt{{(\:2\:)}}[/tex] [tex]\large{\tt{\frac{16\:m²}{4\:m}}}[/tex]
  • [tex]\tt{{2\:(\:4\:m\:)}}[/tex]
  • [tex]{\boxed{\tt{Height\:=\:8\:m}}}[/tex]

Hence, the answer is 8 m.

[tex]\mathbb\green{{TO\:CHECK:}}[/tex]

[tex]\mathcal{{Formula:\:A\:=\:}}[/tex] [tex]\large{\mathcal{\frac{b\:•\:h}{2}}}[/tex]

  • [tex]\large{\tt{\frac{4\:m\:•\:8\:m}{2}}}[/tex]
  • [tex]\large{\tt{\frac{32\:m}{2}}}[/tex]
  • [tex]{\boxed{\tt{Area\:=\:16\:m²}}}[/tex]

Answer:

  • The height of a triangle is 8 m.

» The answer is equal so it means the answer is correct. (^_^ 'メ)

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