Question

the sides of a triangle are 7 ,10 and 12.find the length of the longest side of a similar triangle whose shortest side is 21​

Answer 1

Answer:

The longest side of the similar triangle = 36

Step-by-step explanation:

Given,

The sides of a triangle are 7,10 and 12

The shortest side of a similar triangle = 21

To find,

The length of the longest side of the similar triangle

Solution:

Let 'x' the longest side of the similar triangle

Recall the concept

Two triangles are said to be similar if their corresponding angles are equal and corresponding sides are proportional

The smallest side of one triangle correspond to the smallest side of the other triangle and also the largest side of one triangle corresponds to the largest side of the other

Hence, we can write the correspondence as

$\frac{7}{21} = \frac{12}{x}$

Cross multiplying we get

7x = 12×21

x = $\frac{12X21}{7}$ = 36

The longest side of the similar triangle = 36

#SPJ2