He formula for the area of a triangle is a =1/2bh, in which b represents the length of the base and h represents the height. if a triangle has an area of 105 mm2 and the height is 10 mm, what is the measure of the base?

Substitute the given numbers into the formula a = 1/2bh, where b is the base of the triangle and h is the height of the triangle.

You are given the area, 105 mm^2 and the height, 10 mm^2, so substitute 105 for a and 10 for h; solve for the unknown variable b.

(105) = 1/2b(10), start by multiplying 1/2 and 10.

(105) = 5b, divide both sides of the equation by 5.

b = 21

The measure of the triangle's base is 21 mm.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet