ABC is similar to DEF. Their areas are 64cm and 121 cm respectively. If EF= 15.4 cm, find BC.
Answers
Answered by
7
Answer:
since the triangles are similar, their areas will be equal to the square of their corresponding sides.
therefore, area of triangle ABC/ area of triangle DEF = BC²/EF²
so, we get: 64/121 = BC²/15.4² since they are squared, we have to remove them: √64/121 = BC/15.4
8/11 = BC/15.4
BC= 8/11 x 15.4
therefore, BC will be 11.2 cm
hope this helps!! im sorry if there is any mistakes!! please mark em the brainliest!!
Answered by
4
Answer:
11.2
Step-by-step explanation:
64/121 = (BC/EF)²
✓64/121 = BC/EF
8/11 = BC/15.4
BC = 11.2
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