Question

Find the missing side of the right triangle. Leave answer in

Answer 1

Hello There!!

Given:-

Altitude (AB) = 6cm

Base (BC) = 8cm

To Find

Hypotenuse (AC) = ?

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

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

Inserting The Values

$\text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2}$

$(\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}$

Correct Option D= 10cm

Hope this helps