Concept explainers
a.
To calculate: The side GF if side HG is 4 and side EG is 6.
a.
Answer to Problem 1RP
The side GF is
Explanation of Solution
Given information:
Side HG = 4,
Side EG = 6.
Formula used:
The below property is used:
The corresponding sides of similar
Calculation:
ΔHGE is similar to ΔEGF
The corresponding sides of similar triangles are congruent.
b.
To find: The side EH if side GH is 4 and side GF is 12.
b.
Answer to Problem 1RP
The side EH is
Explanation of Solution
Given information:
Side GH = 4,
Side GF = 6.
Formula used:
The below property is used:
The corresponding sides of similar triangles are congruent.
Calculation:
ΔEGF is similar to ΔHEF
The corresponding sides of similar triangles are congruent.
c.
To find: The side HF if side EF is
c.
Answer to Problem 1RP
The side HF is
Explanation of Solution
Given information:
Side EF =
Side GF = 4.
Formula used:
The below property is used:
The corresponding sides of similar triangles are congruent.
Calculation:
ΔEGF is similar to ΔHEF
The corresponding sides of similar triangles are congruent.
d.
To calculate: The side HF if side EH is 2 and side EF is 3.
d.
Answer to Problem 1RP
The side HF is
Explanation of Solution
Given information:
Side EH = 2,
Side EF = 3.
Formula used:
The below theorem is used:
Pythagoras theorem states that “In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides”.
In right
Calculation:
Side HF can be calculated by applying Pythagoras Theorem.
In right angle triangle HEF , we get
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