Question

Use the Pythagorean Theorem to find which one of the

Answer 1

Hello There!!

Given:-

Altitude (AB) = 9cm

Base (BC) = 12cm

To Find

Hypotenuse (AC) = ?

$\fbox \text{According To Pythagoras Theorem = }$

$\text{(Hypotenuse)² = (Altitude)² + (Base)²}$

Inserting The Values

$\text{(Hypotenuse)²} =( {9})^{2} + (12) {}^{2} \\ \\ \implies \text{(AC)} {}^{2} = 81 + 144 \\ \\ \implies \text{(AC}) {}^{2} = 225 \\ \\ \implies \text{AC} = \sqrt{225} \\ \\ \implies \text{AC} = 15$

$\therefore \text{Hypotenuse \: (AC)} = 15 \text{cm}$

Option B= 15cm is the correct answer

Hope This Helps