Question

Please help!!! I will mark you brainliast

Answer 1

Answer:5 sqrt(2)

Step-by-step explanation:

All the sides of the square are congruent by the markings. Therefore they all measure 5 and because all 4 sides are congruent it is a square. Because it is a square the corners are right angles and you can use the Pythagorean Theorem. a^2 +b^2 = c^2.

5^2 + 5^2 = x^2

25 + 25 = x^2

50= x^2

X = square root of 50

X= square root of 25 Times Square root of 2

X= 5square root of 2

Answer 2

Answer: 5 sqrt (2)

Step-by-step explanation:

ABCD is a square

BCD is a triangle

BC=DC=5

To find DB

Let BC= a, DC=b, BD=c.

using Pythagoras Theorem in Triangle BCD

c2 = a2+b2

c2 = 52+52

c2= 25+25

c= √(50)

c2= √(25)×√ (2)

c= √(5× 5) √(2)

c=  5√(2)   or    c=5sqrt(2)  

Rmbr,  Let BC= a, DC=b, BD=c.