Question

ABC is aright angled triangle at B, if AB = 12 cm and BC =9 then AC=

Answer 1

Answer:

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Step-by-step explanation:

ABC is a right angled triangle, hence we can use Pythagoras theorem to find the missing side.

a2 + b2 = c2

Given:

AB = 5 cm, BC = 12 cm

Using Pythagoras theorem,

AC 2 =AB 2 +BC 2

= 5 ^2 +12 ^2

= 25+144

= 169

AC=13.

Answer 2

Answer:

15 cm

Step-by-step explanation:

As the triangle is right angled at B, therefore AB and BC are its Base and Height, and AC is the Hypotenuse.

By Pythagoras theorem,

Height^2 + Base^2 = Hypotenuse^2

(BC)^2 + (AB)^2 = (AC)^2

(9)^2 + (12)^2 = AC^2

144 + 81 = AC^2

225 = AC^2

AC = √225 = 15 cm

Hence Solved