What is the value of h in the diagram below? If necessary, round your answer
1 answer:
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) /
=
=
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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Answer: 10
Step-by-step explanation:
In a right angle triangle
Hypothenus ^2= opposite ^2+ adjacent ^2
According to a diagram below
Hypothenus =15
Opposite =?
Adjacent =11
Substitute for the values
15^2=11^2+opp^2
Opp^2=15^2-11^2
0pp^2= 225-121
Opp2=104
Opp= square root of 104
Opp= 10.2
Opp= ~10
