is it possible to construct a triangle with the given side lengths 35, 120 and 125 units if not explain why not

Yes

Step-by-step explanation:

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed. Hope this helps!

Yes(4th choice)

Step-by-step explanation:

The triangle inequalities tell us, that the sum of any two sides of a triangle must be greater than the third. This checks out for all values in this triangle:

125 + 35 >  120 Check

120+25 > 125 Check

125 + 120 > 35 Check

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).

the multiples of 15 are 15, 30,45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195,   210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375,   390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, and 735.

the factors of 15 are 1, 3, 5, and 15.

hope that , fam!

-une, your fren : )