Question

Triangle ABC has the side lengths 6 in., 9 in., and 11 in.

Answer 1

Answer:

The BEST statement describes how the triangle could be altered in order to make it a right triangle

B.

One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.

Step-by-step explanation:

Triangle ABC has the side lengths 6 in., 9 in., and 11 in.

The only condition is that satisfy to become Δ ABC a Right angle triangle is

Longer leg (one inch remove) = 9 - 1 = 8 inch

New hypotenuse = 10 inch

So that Pythagoras theorem must satisfy

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

So (Hypotenuse)² = 10² = 100

     (Shorter leg)²  = 6² = 36

     (Longer leg)² = 8² = 64

So we have,

(Shorter leg)² + (Longer leg)² = 36 + 64

                                                = 100

                                                 = (Hypotenuse)²

Therefore, Δ ABC is right Triangle By Converse of Pythagoras Theorem.

Therefore,

The BEST statement describes how the triangle could be altered in order to make it a right triangle

B.

One inch could be removed from the 9 in. leg and a new hypotenuse could be drawn.