Question

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

round to the nearest tenth.
Find the measure of the hypotenuse. If necessary, round

Answer 1

16.1 is rounded to the nearest tenth

Answer 2

16.1 cm (nearest tenth)

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=√(260)`

`\implies c=2√(65)`

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