Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Find the exact value of x.

Find The Exact Value Of X class=

Sagot :

Answer:

x is 8√2.

Step-by-step explanation:

Answer:

8√2

Step-by-step explanation:

Idea 1 : (Pythagorean theorem)

2x² = 16²

then

2x² = 256

then

x² = 256/2 = 128

then

x = √128

then

x = √(64×2)

then

x = √64 × √2

then

x = 8√2

………………………………………………………

Idea 2 : (diagonal of a square)

16 is the diagonal of a square with side square of lengths x

Then

x√2 = 16

Then

[tex]x = \frac{16}{\sqrt{2} } =\frac{8\times2}{\sqrt{2} } =\frac{8\times\sqrt{2} \times \sqrt{2} }{\sqrt{2} } =8\sqrt{2}[/tex]

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.