Question

The perimeter of two similar triangles are 15 cm and 10 cm respectively. if one side of the first triangle is 7.5 cm, find the corresponding side of the other triangle.

Answer 1

Hey there !!


➡ Given :-

→ Perimeter of two similar triangles are 15a
cm and 10cm respectively.

→ One side of first triangle is 7.5 cm.


➡ To find :-

→ The corresponding side of the other triangle.


➡ Solution :-


Let the ratio of corresponding side of other triangle be x.


▶ We know that the ratio of the Perimeters of two similar is the same as ratio of their corresponding sides.


→ For proof = $\boxed{ \boxed{ \bf See \: the \: attachment . }}$


▶ Now,

A/Q,


=> $\frac{15}{10} = \frac{7.5}{x}$

=> $\frac{3}{2} = \frac{7.5}{x}$

=> 3 × x = 7.5 ×2.

=> 3x = 15.

=> x = $\frac{15}{3} .$

=> $\huge \boxed{ \boxed{ \bf x = 5cm. }}$


▶ Therefore, the corresponding side of other triangle is 5cm.


✔✔ Hence, it is solved ✅✅.

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THANKS


#BeBrainly.

Answer 2

Step-by-step explanation:

the corresponding side of other triangle is 5cm