Question

The ratio of the lengths of the corresponding sides of $2$ similar right angled triangles is $2:5$. If the length of the hypotenuse of the smaller triangle is $5$ inches, find the length of the hypotenuse of the larger triangle (in inches):

• A. 2
• B. 2.5
• C. 7
• D. 10
• E. 12.5

Answer 1

Answer: (E)

12.5

Ratio of the length of the sides of the two triangle $=2:5$

If hypotenuse of small triangle $=5$ inches

Let the hypotenuse of larger triangle $=x$

$\therefore \frac{5}{x}=\frac{2}{5}$

$\therefore x=\frac{25}{2}=12.5$ inches