Question

Calculate the other sides of a triangle whose shortest side is 6 cm and which is similar
to a triangle whose sides are 4 cm, 7 cm and 8 cm.
​

Answer 1

Answer:6, 12, 10.5

Step-by-step explanation: the two triangles are similar thus $\frac{4}{6} = \frac {8}{x} = \frac {7}{y}$ so x = 8×6÷4= 12 and y=7×6÷4=10.5

Answer 2

The other sides of a triangle are 10.5 cm and 12 cm.

Explanation:

• When two triangles are similar then the ratio of the corresponding sides are equal.  (1)

Also, if two triangles are similar then the shortest side of one triangle is corresponding to the shortest side of other.

Ratio of shortest sides = $\dfrac{6}{4}=\dfrac{3}{2}$

Let the measure of the other sides of the triangle by x and y .

Then from (1) we have,

$\dfrac{x}{7}=\dfrac{3}{2}\Rightarrow\ x=\dfrac{3}{2}\times7=10.5\ cm$

$\dfrac{y}{8}=\dfrac{3}{2}\Rightarrow\ x=\dfrac{3}{2}\times8=12\ cm$

So , the other sides of a triangle are 10.5 cm and 12 cm.

# Learn more :

If the ratio of the sides of a triangle is 2:3:4 and the shortest side is 4 cm ,find the length of the other two sides.

https://brainly.in/question/6297501