Question

problem 17: (first taught in lesson 30) tell whether it is possible to draw a triangle that satisfies this set of conditions. a right triangle with two congruent angles after you pick your answer press go. possible not possible

Explanation:

Step1: Recall triangle - angle sum property

The sum of the interior angles of a triangle is $180^{\circ}$.

Step2: Consider a right - triangle

A right - triangle has one angle equal to $90^{\circ}$.

Step3: Analyze congruent angles

Let the two congruent angles each be $x$. Then $90 + x+x=180$.

Step4: Solve the equation

$90 + 2x=180$, $2x=180 - 90=90$, so $x = 45^{\circ}$. A right - isosceles triangle has one $90^{\circ}$ angle and two $45^{\circ}$ angles.

Answer:

Possible