^RHP ~ ^NED and HP/ED = 4/5 Then
A.^RHP is greater.
B.^RHP is small.
C.Both triangles are congruant.
D.None of these . (can not be decided
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Given: ^RHP ~ ^NED and HP/ED = 4/5.
To find: The correct option.
Solution:
Since the triangles RHP and NED are similar, their corresponding sides are in ratio with one another and their corresponding angles are equal. The sides HP and ED of the two triangles are corresponding to each other and are in the ratio of 4/5 or 4:5.
Let the length of HP be equal to 4x and let the length of ED be equal to 5x. As the side ED of triangle NED is longer than HP, the triangle ΔRHP is smaller. Because its corresponding sides would be smaller too.
Therefore, the correct option is option B. ^RHP is small.
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