Question

PLEASE PLEASE PLEASE ANSWER THIS.​

Answer 1

Hi there!

`\large\boxed{53) \text{ } KL = 31}\\\\\large\boxed{54) \text{ } { } DC = 3}`

53)

The altitude of a triangle is always perpendicular to the base, therefore:

5x° must equal 90°.

Solve for x:

5x = 90

5x / 5 = 90 / 5 ----> x = 18

KL is equal to 2x - 5, so plug the value of x into the equation:

KL = 2(18) - 5

KL = 36 - 5 ---> KL = 31

54)

A median bisects the base, therefore:

AD ≅ DC

Set both equations equal to each other:

3x = 2x + 1

Subtract 2x from both sides:

x = 1

Plug in the value of x into the equation for DC:

2(1) + 1 = 3.

DC = 3.