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3 years ago

Two farmers each have triangular plots of land in the diagram below with approximate values shown for lengths in feet

Mathematics

1 answer:

Ray Of Light [21]3 years ago

4 0

Answer:

a) Plots are similar
b) x= 5577 feet

Step-by-step explanation:

<em>Refer to attached</em>

<h3>Question</h3>

a) Are the plots of land similar?
b) Find to the exact value of x and rounded to the nearest tenth?

<h3>Solution</h3>

The small triangle have missing angle of 180° - (52° + 58°) = 70°

This is indicating both triangles have same 3 angle measures.

Since all angles are same, the triangles are similar.

<u>Corresponding sides, against corresponding angles are:</u>

6180 and 8240
x and 7436

<u>As per property of similarity, the ratio of corresponding sides is same</u>

6180/8240 = x/7436
x = 6180*7436/8240
x = 5577 feet

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