The triangles are similar triangles, and the values of HK and GH are (b) 4 and 2√5, respectively
<h3>How to determine the length HK?</h3>The triangles are similar triangles, and they are represented by the following similarity ratio:
GK : HK = HK : JK
From the question, we have:
GK = 2 and JK = 8
So, we have:
2 : HK = HK : 8
Express as fractions
Cross multiply
HK² = 16
Take the positive square root of both sides
HK = 4
The length GH is calculated using the following Pythagoras theorem
GH² = GK² + HK²
This gives
GH² = 2² + 4²
Evaluate the squares
GH² = 20
Solve for GH
GH = 2√5
Hence, the values of HK and GH are (b) 4 and 2√5, respectively
Read more about similar triangles at:
#SPJ1
Answer:
48
Step-by-step explanation:
is basically the horizontal axis.
First, find the integral of x^2-25.
Remember that
integral of a constant is that constant times x.
Also that
to take the integral of a power function, add 1 to the degree and divide by that same degree.
We then get
Evaluate at -3
Then we evaluate at 0
Next, we subtract the the answer then we get