Question

The Pythagorean Theorem

Answer 1

1. a2 + b2 = c2
a2 + 21^2 = 35^2
a2 + 441 = 1225
a2 = 784 
*square root 784*
a = 28

2. a2 + b2 = c2
16^2 + 30^2 = c2
256 + 900 = c2
1156 = c2
*square root 1156*
c = 34

Answer 2

Answer:

1) a² = 28 m

2) 34 = c

Step-by-step explanation:

Formula: a² + b² = c²

1) a?

a² + b² = c²

a² + 21² = 35² (evaluate both 21 squared and 35 squared)

a² + 441 = 1,225

(1,225 - 441 = 784)

a² = 784

now we have to find the square root:

28 · 28 = 784

a² = 28 m

2) c?

a² + b² = c²

16² + 30² = c² (Evaluate.)

256 + 900 = c² (Add.)

1,156 = c²

√1,156 = √c² (find the square root.)

34 · 34 = 1,156

34 = c