Question

I think you have to use the pythagorean theorem, would like you to explain how you did it as well, thanks!

Answer 1

Answer:w = 16

Step-by-step explanation:

Triangle ABC is a right angle triangle. So, the Pythagoras theorem can be applied. We want to determine the value of w. The Pythagoras theorem is expressed as

Hypotenuse^2 = opposite side^2 + adjacent side^2

Looking at triangle ABC,

The hypotenuse which is the longest side of the triangle is 20

The adjacent side of the triangle with angle C as the reference angle is 12. The opposite side of the triangle is w. Therefore,

20^2 = 12^2 + w^2

400 = 144 + w^2

w^2 = 400 - 144 = 256

w = √256 = 16

Answer 2

Answer:

16

Step-by-step explanation:

Pythagoras theorem states that:

In a right-angled triangle,the hypotenuse , altitude and base are related as:

$(Hypotenuse)^2=(Base)^2+(Altitude)^2$

In this question:

Hypotenuse = 20 units

Base =  12 units

Altitude = w = ?

By Pythagoras theorem:

$20^{2}=12^{2}+w^2\\w=\sqrt{400-144}=\sqrt{256}\\w=16\ units$

Hence w = 16 units.