Tuesday

September 2, 2014

September 2, 2014

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

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 8:29amObserve 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-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 - which of the following triangles is both an obtuse triangle and isosceles...

Math - If all of the following triangles have the same perimeter, which has the ...

Math - Triangle L'M'N' is a dilation of triangle LMN. If the scale factor of the...

Precalculus - The sides of an isosceles triangle are 10 cm, 10 cm, and 12 cm. A ...

Geometry - Can you help me with Always, Sometimes, Never questions?? I have ...

Geometry Honors - Can someone help me with Always, Sometimes, Never questions?? ...