Posted by **ana** on Friday, May 4, 2012 at 11:52pm.

The vertices of a triangle are listed below.

H(-2,4), I(22,4), J(10,-1)

Which of the following correctly classifies the triangle?

1.The triangle is an obtuse isosceles triangle.

2.The triangle is a right scalene triangle.

3.The triangle is an obtuse scalene triangle.

4.The triangle is a right isosceles triangle.

- math -
**MathMate**, Saturday, May 5, 2012 at 8:29am
Observe the coordinates of the vertices.

H and I are on the same horizontal line y=4, with x-coordinates -2 and 22 respectively.

The mid-point M between H and I is therefore (10,4).

The third point J(10,-1) is therefore directly below M, and JM is therefore a median and an altitude of the triangle, with a length of 4-(-1)=5, and ∠JMH=∠JMI=90°.

This tells us that JH=JI and therefore the triangle is isosceles.

Since JM<HI, ∠JIM < 90° which implies that the triangle is obtuse.

## Answer this Question

## Related Questions

- Math - A triangle has 2 angles that measure 60 each. Which of the following best...
- Math - Can someone please check to see if I answered these true and false ...
- Math-CHECK PLEASE - Which of the statements is ALWAYS TRUE? A-A right triangle ...
- math - if the measures of the angles of a triangle are represented by 2x, 3x-15...
- math - if the measures of the angles of a triangle are represented by 2x, 3x-15...
- Math - Decide whether each statement is always true, sometimes true, or never ...
- Math - True or false and if false write a true statement 1. A right triangle has...
- math - Mr.Lewis drew a triangle measurement, x, .5x, and 1.5x. What is the best ...
- Math - If all of the following triangles have the same perimeter, which has the ...
- math - which of the following triangles is both an obtuse triangle and isosceles...