Question

the area of the triangle is 40 square millimeters.
(image of a triangle with height 8 mm, side 11 mm, and base b, right - angled at the foot of the height)
what is the triangles base, b?
b = \boxed{} millimeters

Explanation:

Step1: Recall triangle area formula

The area of a triangle is given by $A = \frac{1}{2} \times b \times h$, where $A$ is area, $b$ is base, and $h$ is height.

Step2: Substitute known values

We know $A = 40$ mm², $h = 8$ mm. Substitute into the formula:
$40 = \frac{1}{2} \times b \times 8$

Step3: Simplify and solve for $b$

First simplify $\frac{1}{2} \times 8 = 4$, so:
$40 = 4b$
Divide both sides by 4:
$b = \frac{40}{4} = 10$

Answer:

$b = 10$ millimeters