Question

Someone help me how to do it and write the answer or just write the answer please and thanks

Answer 1

Answer:

The total perimeter of the triangle, rounded to the nearest tenth, is 37.5 units.

Step-by-step explanation:

You can answer this simply by applying the Pythagorean theorem to each side, finding each side's length and then adding them up.

The top side goes from -8x7 to 6x3, so so the change on the x axis is 6 - (-8), or 14, and on the y axis it's 7 - 3, or 4.

That means that the top side has a length of:

$\sqrt{14^2 + 4^2} \\= \sqrt{196 + 16}\\= \sqrt{212}\\\approx 14.6$

Similarly with the right side, we have a Δy of 7 and a Δx of 4:

$\sqrt(7^2 + 4^2)\\= \sqrt(49 + 16)\\= \sqrt(65)\\\\\approx 8.1$

And with the remaining side:

$\sqrt{10^2 + 11^2}\\= \sqrt{100 + 121}\\= \sqrt{221}\\\approx 14.9$

Now we can just sum up those three numbers to get the approximate perimeter:

14.6 + 14.9 + 8.1

= 29.5 + 8.1

= 37.6

Now that matches none of the answers given, but is very close to answer C.  The difference here happens because of where rounding is done.  I rounded to the nearest tenth on every side length, but they rounded on the end result.