Triangle mno is an equilateral triangle with sides measuring 16 units what is the height of the triangle?

see the attached figure to better understand the problem

we know that

The equilateral triangle has three equal sides

so

in the equilateral triangle ABC

the height of the triangle is the segment BD

in the right triangle BCD

Applying the Pythagorean Theorem

solve for BD

substitute the values

therefore

the answer is

the height of the triangle is

80

step-by-step explanation:

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.