Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

What are HK and GH?

A. HK = 5 GH = V29
B. HK=4 GH=2\5
C. HK = 2V5 GH=2v6
D. HK = V5 GH=3

What Are HK And GH A HK 5 GH V29 B HK4 GH25 C HK 2V5 GH2v6 D HK V5 GH3 class=

Sagot :

MrRoyal

The triangles are similar triangles, and the values of HK and GH are (b) 4 and 2√5, respectively

How to determine the length HK?

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

[tex]\frac{2}{HK} = \frac{HK}{8}[/tex]

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:

https://brainly.com/question/14285697

#SPJ1

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.