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L= 12 cm and M= 5 cm. What is n?

L= 12 cm and M= 5 cm. What is n?-example-1

2 Answers

1 vote
c² = a² + b²
c² = 5² + 12²
c² = 25 + 144
c² = 169
c = 13 cm
User MaVRoSCy
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2 votes

This is a perfect place to use Pythagoras' rule. When you do that, the answer rolls out immediately, and if you don't catch it , it falls off the edge of the desk.

Pythagoras' Theorem:

In a RIGHT triangle, the square of the longest side is equal to

(one short side)² + (other short side)² .

This is EXACTLY what you need, because MLN is a RIGHT triangle,
you know the length of both sort sides, and you need to find the
length of the longest side.

M = 5 , M² = 25
L = 12 , L² = 144

Add the squares together: 25 + 144 = 169

Pythagoras says that 169 is the square of N .

When you take its square root, you'll have the length of 'N'.
User Kako
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8.1k points