Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side ( $s_{1},s_{2}$ ) of the right triangle, .i.e.:

$h^{2} = s_{1}^{2} + s_{2}^{2}$

In this question:

$s_{1}$ = $c^{2}-b^{2}$

$s_{2} =$ 2bc

Substituing and taking square root to find hypotenuse:

$h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}$

Calculating:

$h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}$

$h=\sqrt{c^{4}+b^{4}+2b^{2}c^{2}}$

$c^{4}+b^{4}+2b^{2}c^{2}$ = $(c^{2}+b^{2})^{2}$ , then:

$h=\sqrt{(c^{2}+b^{2})^{2}}$

$h=(c^{2}+b^{2})$

Hypotenuse for the right-angled triangle is $h=(c^{2}+b^{2})$ units

3 0

3 years ago

Barry and Robin walk to Dunkin' Donuts each Saturday to meet for coffee and donuts. Barry walks the 2 miles from his house in 30

lbvjy [14]

Answer:

Barry travels 4mph. Robin travels 5mph. Therefore Robin is walking faster.

Step-by-step explanation:

2x2=4

36/60=0.6

0.2=1

0.2x5=1

1x5=5

6 0

2 years ago

State the range of the relation shown

Genrish500 [490]

Answer: Choice A. {-3,-1,0,1,2}

Explanation:

The range is the list of y coordinates of each point.

4 0

2 years ago

You buy two packages of almonds and mix them together into one bowl one package is 8.24 kg and the other is 6.62 kg. How much i

IgorC [24]

Answer:

8.24+6.62=14.86

7 0

3 years ago