Question

Abc def and their perimeters are 60 cm and 48 cm respectively. What is the length ab, if de is equal to 9 cm?

Answer 1

Answer:

The ANSWER is here....... hope it helps

Answer 2

The length of AB=11.25 cm

Step-by-step explanation:

$\triangle$ABC$\sim$ $\triangle$DEF

We know that when two triangles are similar then the ratio of their corresponding sides are equal.

$\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}$

Adding three equalities

$\frac{AB+BC+AC}{DE+EF+DF}=\frac{AB}{DE}$

We know that

Perimeter of triangle=Sum of all sides of triangle

Perimeter of triangle ABC=AB+BC+AC=60 cm

Perimeter of triangle DEF=DE+EF+DF=48 cm

DE=9 cm

Substitute the values then we get

$\frac{60}{48}=\frac{AB}{9}$

$AB=\frac{60\times 9}{48}=11.25 cm$

Hence, the length of AB=11.25 cm

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