Question

Answer the question pls

Answer 1

14.1 units

Explanation:

In order to verify that the quadrilateral with diagonal (dotted line) is a square, we need to prove that the length of the hypotenuse of the triangle is 10 (it shares the side with the shape)

By Pythagorean theorem:

`h=√(6^2+8^2)\\\\h=√(36+64)\\\\h=√(100)\\\\h=10\ units`

Hence, the quadrilateral is a square

=> ALL sides of the quadrilateral equal to 10 units

Again, by Pythagoren theorem:

`diag=√(10^2+10^2)\\\\diag=√(2\cdot(10^2))\\\\diag=10\sqrt2 \approx10\cdot1.41\\\\\implies 14.1\ units`