Triangle PQR is similar to triangle FGH.
1 answer:
Answer:
n = 6
Step-by-step explanation:
See attachment for diagram
Triangle PQR is similar to triangle FGH.
Similar triangles are similar in shape but different in size.
The ratio of their corresponding sides are equal.
QP=10.5
QR=9
RP=6
GF=7
HF=4
GH=n
(Hypotenuse in ∆PQR)/ (hypothenuse in ∆FGH)
=(Adjacent in ∆PQR)/(adjacent in ∆FGH)
= 6/4 = 9/n
Cross multiply
6×n = 9×4
6n = 36
n = 36/6
n = 6
Therefore ratio of their corresponding sides = 3/2
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To make t the subject is basically isolating t
S = at + bt
We see on the right side that t is common, so we factor it out.
S = t(a + b)
Divide by (a+b) to isolate t
a + b and a + b cancels out
We are left with the answer:
t =
S = at + bt
We see on the right side that t is common, so we factor it out.
S = t(a + b)
Divide by (a+b) to isolate t
a + b and a + b cancels out
We are left with the answer:
t =