In a right triangle the length of a hypotenuse is c and the length of one leg is a. find the length of the other leg b, if: c=6, a=5 34 points to the first one who gets it correct

b = sqrt(11)

Step-by-step explanation:

Using the Pythagorean theorem

a^2 + b^2 = c^2

and substituting what we know

5^2 + b^2= 6^2

25 + b^2 = 36

Subtract 25 from each side

25-25 + b^2 = 36-25

b^2 = 11

Take the square root of each side.

sqrt(b^2) = sqrt(11)

b = sqrt(11)

We only take the positive because length must be positive.

Use the Pythagorean theorem

a,b - legs

c - hypotenuse

We have c = 6 and a = 5. Substitute:

    subtract 25 from both sides

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

2

step-by-step explanation: