Q. Find the area of a triangle with a height of 4 mm and a
base of 6 mm?

A = 12 mm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

A = 1/2 *4*6

A = 12 mm^2

The area of a triangle is:

A = (h x b)/2

Plug 4 into h and 6 into b

A = (4 x 6)/2 = 12

The area of your triangle is 12mm^2

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).