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alexira [117]
3 years ago
9

What is the value of h in the diagram below? If necessary, round your answer

Mathematics
1 answer:
poizon [28]3 years ago
5 0

Answer:

A - 8.1

Step-by-step explanation:

This is an example of similar shapes.

The length of MO is 18, and PO is 5.

So length of MP is 13. (18 - 5)

We need to separate this large triangle into 2 triangles:

  • Triangle NMP
  • Triangle NPO

In problems including similar shapes, our unknown needs to be on top of the fraction in an equation.

NP (h) /

{\frac{NP}{MP}  = \frac{PO}{NP}    

\frac{h}{13} = \frac{5}{h}

Cross multiply

h² = 65

h = √65

h = 8.06

h = 8.1 (rounded)

Drawn out explanation below.

Hope this has answered your question.

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