A right-angled triangle has shorter side lengths exactly c^2-b^2 and 2bc units respectively, where b and c are positive real numbers such that cc is greater than b. Find an exact expression for the length of the hypotenuse (in appropriate units).

hypotenuse =

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

In this question:

=

2bc

Substituing and taking square root to find hypotenuse:

Calculating:

= , then:

Hypotenuse for the right-angled triangle is units

black lol

step-by-step explanation:

h

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tommy has 2.

this made me lol.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)