In Problems 51-56, plot each point and form the triangle A B C . Verify that the triangle is a right triangle. Find its area. 53. A = ( − 5 , 3 ) ; B = ( 6 , 0 ) ; C = ( 5 , 5 )
In Problems 51-56, plot each point and form the triangle A B C . Verify that the triangle is a right triangle. Find its area. 53. A = ( − 5 , 3 ) ; B = ( 6 , 0 ) ; C = ( 5 , 5 )
In Problems 51-56, plot each point and form the triangle
. Verify that the triangle is a right triangle. Find its area.
53.
Expert Solution & Answer
To determine
To find: To plot the given points and form the triangle, length of the sides of the triangle, to verify that the triangle is a right triangle and find the area of the triangle.
Answer to Problem 31AYU
Explanation of Solution
Given:
Formula used:
Calculation:
To prove that the triangle is a right triangle, we need to show that the sum of the squares of the lengths of two of the sides equals the square of the length of the third side.
It follows from the converse of the Pythagorean Theorem that triangle is right triangle and right angle is at vertex .
Because the right angle is at vertex , the sides and form the base and height of the triangle, respectively.
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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