# math

posted by .

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 -

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.

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### Math

A triangle has 2 angles that measure 60 each. Which of the following best describes thiz triangle. A. Right isoseles triangle B. Equilateral triangle C. Obtuse isosceles triangle D. Acute scalene triangle
2. ### Math-CHECK PLEASE

Which of the statements is ALWAYS TRUE? A-A right triangle is a scalene triangle. B-An equilateral triangle is an isosceles triangle. C-An isosceles triangle is an obtuse triangle. D-A right triangle is an acute triangle. I got either
3. ### Math

Can someone please check to see if I answered these true and false statements correctly?
4. ### Math

Which triangle is NOT possible to construct?
5. ### Math

Which triangle is NOT possible to construct?
6. ### MATH

Which triangle is not possible to construct?
7. ### Math

Which triangle is not possible to construct?
8. ### math plz check ;-;

A triangle has sides of lengths 5 cm, 5 cm, and square root 47cm. Which of the following statements is true?
9. ### math

This question is suppose to be simple but i keep getting it wrong Triangle LMN has vertices L(1, 6), M(6, 3) and N(5, 7). What type of triangle is Triangle LMN?
10. ### Math

Triangle ABC has angles measuring 137°, 15°, and 28°. Classify the triangle by its angle measures. right triangle acute triangle obtuse triangle multiangular triangle I thinks it's c

More Similar Questions