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:
CU = 117
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
substituting in values to the ratios
=
( cross- multiply )
24(36x - 1) = 3432 ( divide both sides by 24 )
36x - 1 = 143 ( add 1 to both sides )
36x = 144 ( divide both sides by 36 )
x = 4
CU = 36x - 1 - 26 = (36 × 4) - 27 = 144 - 27 = 117