2 years ago

What is the length of BC

Mathematics

1 answer:

elena55 [62]2 years ago

3 0

Answer:

BC = 2

Step-by-step explanation:

We first need to use triangle BAD to find BD,

BD is the hypotenuse, so use pythagorean theorem...

(√23)² + (√13)² = (BD)²

23 + 13 = (BD)²

36 = (BD)²

6 = BD

Now BD is the hypotenuse of triangle BCD, so use pythagorean theorem agian to find BC

(4√2)² + (BC)² = 6²

32 + (BC)² = 36

(BC)² = 4

BC = 2

You might be interested in

What is the area of a circle with a radius of 6 inches? (Leave your answer in terms of Pi. This means: do not multiple by 3.14,

pickupchik [31]

Answer:

36π in^2

Step-by-step explanation:

Area of a circle = π(6)^2 = 36π

6 0

2 years ago

Solve the following new equation

mixer [17]

Answer:

<h3>x = 1.54 or x = - 4.54 to 2 decimal places</h3>

Step-by-step explanation:

x² + 3x - 7 = 0

Using the quadratic formula

a = 1 b = 3 c = - 7

$x = \frac{3 ± \sqrt{ {3}^{2} - 4(1)( - 7) } }{2(1)} \\ x = \frac{ - 3± \sqrt{9 + 28} }{2} \\ \\ x = \frac{ -3 ± \sqrt{37} }{2} \\ \\ x = \frac{ - 3 + \sqrt{37} }{2} \: \: \: \: \: or \: \: \: x = \frac{ - 3 - \sqrt{37} }{2} \\ \\ x = 1.54 \: \: \: or \: \: x = - 4.54$