Question

PLEASE HELP!!!!!! I really need help fast

Answer 1

Answer:

$x=14$

Step-by-step explanation:

Considering the small triangle in which the one side and two angles are given:

Finding the third angle of the small triangle

Sum of angles of the triangle is $180$°

as two angles are given i.e 90° and 45°, so third angle is 180°-(90°+45°)

Third angle in the small triangle is 45°.

As the opposite angles are 45° joining together to form 90° angle, therefore the small triangle is an isosceles triangle in which the opposite sides are equal.

Therefore the two sides are 7 and 7 of small triangle, so By Pythagoras theorem the third side is

$H=\sqrt{P^2+B^2}\\ \\=\sqrt{7^2+7^2}\\\\=\sqrt{98} \\H=7\sqrt{2}$

Similarly the bigger triangle is also an isosceles triangle whose base is determined i.e  $7\sqrt{2}$ = perpendicular length of bigger triangle.

Applying the Pythagoras theorem in bigger triangle:

           $x=\sqrt{(7\sqrt{2})^2+(7\sqrt{2})^2 }\\x=\sqrt{98+98}\\\\ x=\sqrt{196} \\\\x=14$

Answer 2

Answer:

c

Step-by-step explanation: