Answer:
t = 7.5 cm , q= 7.5 cm.
Step-by-step explanation:
Given : Two similar triangle .
To find : what are the values of q and t ,Round to the nearest hundredth.
Solution : We have given Two similar triangle GHI and DEF.
Property of two similar triangle : The ratios of the lengths of their corresponding sides are equal.
Corresponding sides HI ≅ EF and GI≅DF. GH≅DE
HI = t , EF = 4.5 , GI = 12.5 , DF = q , Gh = 10 , DE = 6
[tex]\frac{t}{4.5} = \frac{10}{6}[/tex] .
On cross multiplication
t * 6 = 4.5 * 10.
t * 6 = 45 .
On dividing both sides by 6
t = 7.5 cm.
Now, for q
[tex]\frac{q}{12.5} = \frac{6}{10}[/tex] .
On cross multiplication
q * 10 = 12.5 * 6.
q * 10 = 75.0
On dividing both sides by 10
q= 7.5 cm.
Therefore, t = 7.5 cm , q= 7.5 cm.