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 - Which triangle is NOT possible to construct? Answers: A. A right ...
- Math - Which triangle is NOT possible to construct? Answers: A. A right ...
- Math - Which triangle is not possible to construct? A a right isosceles triangle...
- MATH - Which triangle is not possible to construct? A a right isosceles triangle...
- math plz check ;-; - A triangle has sides of lengths 5 cm, 5 cm, and square root...
- math plz check ;-; sorry - A triangle has sides of lengths 5 cm, 5 cm, and ...
- math - if the measures of the angles of a triangle are represented by 2x, 3x-15...

More Related Questions