Chapter 12.1, Problem 3E

To determine

To find: theclassification of triangle by its given side and measure the angle.

Answer to Problem 3E

The triangle is right isosceles triangle.

Explanation of Solution

Given:

  

Concept used:

Isosceles triangle will have two same side.

Sum of the three angles of triangle is always ${180}^0$ .

If the triangle is right triangle then other two angles other than ${90}^0$ will be less than ${90}^0$ .

Calculation:

From the angle ${90}^0$ its clearly point out that the triangle is right triangle.

Here from the given diagram its also clear that the two side of the triangle is equal which mean the triangle can be also isosceles triangle.

Hence, the triangle is right isosceles triangle.