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Read and analyze the following problem carefully
A. Suppose your section will participate in the field demonstration at the Sports
festival in your school. This field demonstration must be consisting of 20 learners
per section. Your adviser assigned you to organize a team that is willing to join in
the said event. He also instructed you to collect information about your
classmates’ height because he will need to buy a costume. Since your community
is under the General Community Quarantine because of the recent pandemic,
you need to contact your classmates through SMS or messenger to get their
heights and write it on the table below.
Read and analyze the following problem carefully
A. Suppose your section will participate in the field demonstration at the Sports
festival in your school. This field demonstration must be consisting of 20 learners
per section. Your adviser assigned you to organize a team that is willing to join in
the said event. He also instructed you to collect information about your
classmates’ height because he will need to buy a costume. Since your community
is under the General Community Quarantine because of the recent pandemic,
you need to contact your classmates through SMS or messenger to get their
heights and write it on the table below.
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Answer:
In triangle ACE,
AC² + CE² = AE² ...(i) (By Pythagoras Theorem)
In triangle DBC,
DC² + BC² = BD² ...(ii) (By Pythagoras Theorem)
In triangle ABC,
AC² + BC² = AB² ...(iii) (By Pythagoras Theorem)
In triangle DEC,
DC² + CE² = DE² ...(iv) (By Pythagoras Theorem)
Adding (i) and (ii) we get,
AE² + BD² = AC² + CE²+ DC²+ BC²
AE² +BD² = AC² +BC² +CE² + DC²
AE² + BD² = AB² + DE² [ from (iii) and (iv)]