Q3.

Question

Find a counterexample to the following statement. 

It is always possible to solve a right triangle.

Step-by-Step Solution

Verified
Answer

Counter example: If we know hypotenuse = 5 only of the right-triangle. We do not know any other side or angles. 

It is not possible to solve for this right triangle. 

1Step 1. Given

Statement: It is always possible to solve a right triangle.

2Step 2. To determine

Find a counterexample to the given statement.

3Step 3. Calculation

Counter example: If we know hypotenuse = 5 only of the right-triangle. We do not know any other side or angles. 

It is not possible to solve for this right triangle.