Which equation can be used to find the unknown length, a, in this triangle?
15 m
17 m
3+15² = 172
152 +172 - a
2² +15= 172
at 15² = 17²

Here is the complete question.(attachment)

The correct choice is

Step-by-step explanation:

We will apply the Pythagoras formula to calculate the perpendicular length (a).

Pythagoras formula

The right angle is formed between and length.

So is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.

So

So the measure of side length is .

That can be calculated from the option A that is .

Note:Please don't look to the marked answers that was wrong in the attachment.

L ≈ 1023.0562

Step-by-step explanation:

We are given;

x = t² - 2t

dx/dt = 2t - 2

Also, y = t^(5)

dy/dt = 5t⁴

The arc length formula is;

L = (α,β)∫√[(dx/dt)² + (dy/dt)²]dt

Where α and β are the boundary points. Thus, applying this to our question, we have;

L = (1,4)∫√[(2t - 2)² + (5t⁴)²]dt

L = (1,4)∫√[4t² - 8t + 4 + 25t^(8)]dt

L = (1,4)∫√[25t^(8) + 4t² - 8t + 4]dt

Using online integral calculator, we have;

L ≈ 1023.0562