draw a triangle that maps their route. label the lengths and angles. is hjb a right triangle? no.

draw a height, h, from H to point X on bj. what kind of triangles are HXJ and HXB?

3-sided

since X is the foot of the altitude, any triangle with X as an angle will be a right triangle.

To draw a triangle that maps their route, we need some additional information, such as the positions of the points H, J, and B. However, I can still explain how to determine the kind of triangles HXJ and HXB.

To determine the type of triangle HXJ, we need to consider the angles and lengths. Since HX is a height from point H to line BJ, it will be perpendicular to BJ. Therefore, angle HXJ will be a right angle (90 degrees). The length of HX will depend on the specific positions of the points H, J, and B in your scenario.

For triangle HXB, again, we need to know the lengths of the sides and the angles. Without this information, we can't determine the type of this triangle. However, we can make some observations based on the given information that HJB is not a right triangle.

If triangle HJB is not a right triangle, it means that the angle at J is not 90 degrees. Consequently, if we draw a height from H to BJ and call the point of intersection X, then the triangles HXJ and HXB would both be acute triangles. An acute triangle is a triangle that has all angles less than 90 degrees.

In conclusion, while we can't draw the exact triangle or determine the lengths and angles without more information, we can deduce that HXJ would be a right triangle and HXB would be an acute triangle based on the given information that HJB is not a right triangle.