Point I is on line segment start overline, H, J, end overline HJ . Given H, J, equals, 13HJ=13 and H, I, equals, 2, commaHI=2, determine the length start overline, I, J, end overline, . IJ .

Answer 1

To find the length of line segment IJ, we can use the Pythagorean theorem since we have a right triangle with sides of lengths HI and HJ.

First, let's find the length of line segment HJ:
HJ = 13

Next, we can find the length of line segment HI:
HI = 2

Now, we can use the Pythagorean theorem to find the length of line segment IJ:
(IJ)^2 = (HJ)^2 + (HI)^2
(IJ)^2 = 13^2 + 2^2
(IJ)^2 = 169 + 4
(IJ)^2 = 173

Taking the square root of both sides, we get:
IJ = √173

Therefore, the length of line segment IJ is √173 units.