Question

AFGH is a right triangle. A. True B. False

Answer 1

Answer:false

Step-by-step explanation:a p e x

Answer 2

Option B:

False

Solution:

Given GF = 10, FH = 6, GH = $\sqrt{63}$

To verify that ΔFGH is right triangle or not:

Pythagoras theorem:

If the square of the hypotenuse is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

Using Pythagoras theorem,

$\text{Hypotenuse}^2={GF}^2$

                    = 10²

                    = 100

$\text {(sum of the sides)}^2$= $GH^2+FH^2$

                            = $6^2+(\sqrt{63} )^2$

                            = 36 + 63

                            = 99

100 ≠ 99

$GF^2\neq GH^2+FH^2$

Hence ΔFGH is not a right triangle.

The given statement is false.

Option B is the correct answer.