Math triangle area bounds?
2020-08-20 7:34 pm
A triangle has a base of 3.1 and a height of 4.2, only correct to one decimal place. What are the upper and lower bounds of the area of the triangle, as accurately as possible?
回答 (3)
2020-08-20 7:44 pm
Upper bound of the area of triangle
= (1/2) × 3.15 × 4.25
= 6.69375
Lower bound of the area of the triangle
= (1/2) × 3.05 × 4.15
= 6.32875
= (1/2) × 3.15 × 4.25
= 6.69375
Lower bound of the area of the triangle
= (1/2) × 3.05 × 4.15
= 6.32875
2020-08-20 7:59 pm
micatkie thank you and may you have a blessed day
2020-08-20 10:14 pm
3.05 ≤ base < 3.15
4.15 ≤ height < 4.25
Area is (1/2)(base)(height)
Hence, both lower bounds will give a lower bound area.
Also, both upper bounds will give an upper bound area
so, lower bound is (1/2)(3.05)(4.15) => 6.32875
and upper bound is (1/2)(3.15)(4.25) => 6.69375
Note: for calculation purposes we use the values 3.15 and 4.25
so, l.b. = 6.3 and u.b. = 6.7...to 1 d.p.
:)>
4.15 ≤ height < 4.25
Area is (1/2)(base)(height)
Hence, both lower bounds will give a lower bound area.
Also, both upper bounds will give an upper bound area
so, lower bound is (1/2)(3.05)(4.15) => 6.32875
and upper bound is (1/2)(3.15)(4.25) => 6.69375
Note: for calculation purposes we use the values 3.15 and 4.25
so, l.b. = 6.3 and u.b. = 6.7...to 1 d.p.
:)>
收錄日期: 2021-04-24 07:56:44
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20200820113423AAgb56z