Question

in a right angle triangle measures of the sides containing the right angle are 1.8 cm and 2.4 cm what is the length of the hypotenuse.​

Answer 1

Question :

in a right angle triangle measures of the sides containing the right angle are 1.8 cm and 2.4 cm what is the length of the hypotenuse.

Answer :

The hypotenuse is 3 cm

$\bf\pink {Given :}$

• base is 1.8 cm

• perpendicular is 2.4 cm

$\bf\pink{To\:find :}$

• hypotenuse

Explanation :

By pythagoras theorem ,

$\sf\purple {({hypo}^{2}) = ({base}^{2}) + ({perpendicular}^{2})}$

$\\ \longrightarrow\sf{({hypo}^{2}) = ({1.8}^{2}) + ({2.4}^{2})}$

$\\ \longrightarrow\sf{({hypo}^{2}) = 3.24 + 5.76}$

$\\ \longrightarrow\sf{({hypo}^{2}) = 9}$

$\\ \longrightarrow\sf{hypotenuse = \sqrt {9}}$

$\\ \longrightarrow\sf{hypotenuse = 3}$

hope it helps you