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Answer the question pls

Answer the question pls-example-1
User KarlKFI
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1 Answer

2 votes

Answer:

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

User Annemichelle
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