(c)
If two similar triangles have a scale factor of a: b. Which statement regarding 1
the two triangles is true?
(i) The ratio of their perimeters is 3a : b
(ii) Their altitudes have a ratio a/2:b
(ii) Their medians have a ratio : b
(iv)Their angle bisectors have a ratio a2: b2
Answers
Given : Two similar triangles have a scale factor of a: b
To Find : Which statement regarding the two triangles is true
(i) The ratio of their perimeters is 3a : b
(ii) Their altitudes have a ratio a/2:b
(iii) Their medians have ratio a : b
(iv)Their angle bisectors have a ratio a²: b²
Solution:
Ratio of perimeter of similar triangle is same as ratio of corresponding sides
Hence The ratio of their perimeters is a : b
=> The ratio of their perimeters is 3a : b is FALSE
Ratio of corresponding altitudes of similar triangle is same as ratio of corresponding sides
=> The ratio of their altitude is a:b
hence Their altitudes have a ratio a/2:b is FALSE
Ratio of corresponding medians of similar triangle is same as ratio of corresponding sides
Their medians have ratio a : b is TRUE
Their angle bisectors have a ratio a²: b² is FALSE
Hence Correct option is Their medians have ratio a : b
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Answer:
their median have a ratio a/2 : b
i am studying it now only