High School

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ Work out the height of a triangle with a base of 8 m and an area of 12 m².

Answer :

The height of the triangle with a base of 8m and an area of 12m² is 3 meters.

To find the height of a triangle with a given base and area, we can use the formula for the area of a triangle:

[tex]\[ \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]

Given that the base [tex]\( b \)[/tex] is 8m and the area [tex]\( A \)[/tex] is [tex]12m^2[/tex], we can plug these values into the formula and solve for the height ([tex]\( h \)[/tex]):

[tex]\[ 12 = \frac{1}{2} \times 8 \times h \][/tex]

Now, let's solve for [tex]\( h \)[/tex]:

[tex]\[ 12 = 4h \][/tex]

[tex]\[ h = \frac{12}{4} \][/tex]

[tex]\[ h = 3 \][/tex]

So, the height of the triangle is 3 meters.

To calculate the height of a triangle with a known base of 8m and area of 12m squared, we rearrange the area formula and find that the height is 3 meters.

To calculate the height of a triangle when the base and area are known, you can use the formula for the area of a triangle: Area = 1/2 * base * height. The area is given as 12 [tex]m^2[/tex] and the base is 8 m. To find the height, we need to rearrange the formula to solve for height.

So we have:

Area = 1/2 * base * height

12 [tex]m^2[/tex] = 1/2 * 8 m * height

12 [tex]m^2[/tex] = 4 m * height

height = 12 [tex]m^2[/tex] / 4 m

height = 3 m

Therefore, the height of the triangle is 3 meters.