Find the value of y (a)2 (b) 6/2 (c)2/2 (d)3

value of y is 2√2

C is the correct option.

Step-by-step explanation:

We can use Pythagoras theorem to find the value of y.

In triangle ABC, using Pythagoras theorem

BC² = AB² + AC²

(8+1)² = 3² + z²

9² = 9 + z²

z² = 81-9

z² = 72

Now, apply Pythagoras theorem in triangle ADC

AC² = AD² + DC²

z² = y² + 8²

Plugging the value of z

72 = y² +64

y² = 72 -64

y² = 8

y = 2√2

Therefore, value of y is 2√2

C is the correct option.

the diameter is 16 cm. are you a teacher?

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240