Question

Determine whether each set of points make a right triangle using the Pythagorean Theorem. 1. A(3 , -4) B(-4 , 3) C(0 , 0) 2. O(2 , 5) P(-1 , 3) Q(7 , 4) 3. T(1 , 1) U(3 , 3) V(5 , 1)

Answer 1

-- Not right triangle

-- Not right triangle

-- Right triangle

Step-by-step explanation:

Required

Determine whether the given points make a right triangle

First, calculate the distance between each point using:

So, we have:

From the above computations, the longest side is AB.

So;

--- Test of Pythagoras

The above points do not make a right triangle

Calculate distance

From the above computations, the longest side is PQ

So;

--- Test of Pythagoras

The above points do not make a right triangle

Calculate distance

From the above computations, the longest side is TV

So;

--- Test of Pythagoras

The above points not make a right triangle