Question

Given a right triangle with legs a and b and hypotenuse c, find the length of side b if
a=3b,c=2√10

Answer 1

Answer:

b = 2

Step-by-step explanation:

a² + b² = c²

(3b)² + b² = (2$\sqrt{10}$ )²

(3b)(3b) + b² = ( 2$\sqrt{10}$ ) (2$\sqrt{10}$ )

9b² + b² = 4 ($\sqrt{100}$ )

9b² + b² = 4(10)

10b² = 40

b² = 40/10

b² = 4

b = $\sqrt{4}$

b = 2