Question

Find the height of an equilateral triangle whose side measures 56 cm.

Answer 1

Answer:

48.4975 cm

Step-by-step explanation:

area of equlateral triangle=√3/4a²{a is side}

area of this equilateral triangle is 1357.93

we know

1/2bh=area of a triangle

1/2bh=1357.93

1/2×56×h=1357.93

h=48.4975 cm

hoipe this helps

plzz mark me brainliest

Answer 2

Answer: 48.497 units

Step-by-step explanation:

Equilateral triangles are defined as any triangle with equal side lengths and angle measures.

Thus, we know that every interior angle on the triangle measures 60 degrees and the side lengths are all 56 centimeters long.

Looking at the diagram attached, you can divide the triangle down the middle to find the height.

We know that the angle measure for the angle on the bottom left is 60 degrees, and the side length of the hypotenuse.

We can then use the trigonometric function sine (sin (angle) = opposite/hypotenuse) to find the height of the triangle:

$sin (60) = \frac{x}{56} \\0.86602 = \frac{x}{56}\\0.86602 * 56 = x\\x = 48.497$

The height of the triangle is 48.497 units tall.