Given the two triangles are similar, what are the values of q and t? round to the nearest hundredth.

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

.

On cross multiplication

t * 6 = 4.5 * 10.

t *  6 = 45 .

On dividing both sides by 6

t = 7.5 cm.

Now, for q

.

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.

5.5

step-by-step explanation: