Question

One of the legs of right triangle measures 16 cm and the other leg measures 2 cm.

Answer 1

Answer:

16.1 cm (nearest tenth)

Step-by-step explanation:

Pythagoras’ Theorem

$a^2+b^2=c^2$

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

• a = 16 cm
• b = 2 cm

Substitute the given values into the formula and solve for c:

$\implies 16^2+2^2=c^2$

$\implies 256+4=c^2$

$\implies c^2=260$

$\implies c=\sqrt{260}$

$\implies c=2\sqrt{65}$

$\implies c=16.1 \sf \: cm\:(nearest\:tenth)$