I can’t solve x - can you help me please

Question

asked Dec 21, 2020 43.1k views

2 Answers

Snowman · Answer 1 · 2020-12-22T09:14:44+0000

➷ First calculate BD:

BD^2 = 2.4^2 + 2.4^2

BD^2 = 11.52

BD = 3.39411255

x^2 = 3.8^2 - 3.39411255^2

x^2 = 2.92

x = 1.708800740

x = 1.7cm

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Martimatix · Answer 2 · 2020-12-27T08:31:54+0000

Answer:

$\large\boxed{x=√(2.92)\ cm\approx1.71\ cm}$

Explanation:

Look at the picture.

Segment d is the diagonal of square.

The formula of a diagonal of a square with side a:

$d=a\sqrt2$

Therefore we have

$a=2.4\sqrt2\ cm\to d=2.4\sqrt2\ cm$

Use the Pythagorean theorem to calculate x:

x^2+d^2=EB^2

Substitute

$d=2.4\sqrt2\ cm,\ EB=3.8\ cm$

$x^2+(2.4\sqrt2)^2=(3.8)^2$

$x^2+(2.4)^2(\sqrt2)^2=14.44$

x^2+(5.76)(2)=14.44

x^2+11.52=14.44 subtract 11.52 from both sides

$x^2=2.92\to x=√(2.92)\ cm\\\\x\approx1.71\ cm$