Question

I need the perimeter of this triangle. Round to the nearest tenth. Quickly please

Answer 1

Answer:

The perimeter of the triangle is about 17.1 units.

Step-by-step explanation:

The perimeter of a triangle is the sum of its three side lengths.

We can see that the two legs of the triangle both measure five units.

To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:

$a^2 + b^2 = c^2$

Where a and b are the two legs and c is the hypotenuse.

Our two legs are 5 and 5. Hence:

$(5)^2 + (5)^2 = c^2$

Solve for the hypotenuse:

$\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}$

Hence, our perimeter will be:

$\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}$

In conclusion, the perimeter of the triangle is about 17.1 units.