Question

7 a) in the figure shown, de = 23 and ef = 35. determine the value of df.
figure: d---23---e---35---f
df =

b) in the figure shown, fg = 21 and fh = 36. determine the value of gh.
figure: f---21---g---(fh=36)---h
gh =

Explanation:

Part (a)

Step1: Identify segment addition

DF is the sum of DE and EF.
$$DF = DE + EF$$

Step2: Substitute values

DE = 23, EF = 35.
$$DF = 23 + 35$$

Step3: Calculate the sum

$$23 + 35 = 58$$

Step1: Identify segment subtraction

FH is the sum of FG and GH, so GH = FH - FG.
$$GH = FH - FG$$

Step2: Substitute values

FH = 36, FG = 21.
$$GH = 36 - 21$$

Step3: Calculate the difference

$$36 - 21 = 15$$

Answer:

58

Part (b)