Question

A right angled triangle has sides 12m and 5m. what is the length of the hypotenuse of the triangle?
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Answer 1

Answer:

Hi there !!

Given :

Sides of the triangles as 12 m and 5 m

According to Pythagoras Theorem :

a = 12m

b = 5 m

c = hypotenuse

a² + b² = c²

12² + 5² = c²

144 + 25 = c²

169 = c²

c = √ 169

c = 13 cm  

∴  hypotenuse = 19.20cm

Answer 2

$\huge\mathcal{\fcolorbox{aqua}{azure}{\red{❖Hola!}}}$

Sides given are 12m and 5m

$\large\orange{\sf{Using~Pythagoras~Theorum}}$

$\fbox\pink{Pythagoras~Theorum~☞~(AC)²~=~(AB)²~+~(BC)²}$

$\large\orange{\sf{(AC)²~=~(12)²~+(5)²}}$

$\large\orange{\sf{(AC)²~=~144~+~25}}$

$\large\orange{\sf{(AC)²~=~169}}$

$\large\orange{\sf{AC~=~√169}}$

$\large\orange{\sf{AC~=~13}}$

$\mathcal{\fcolorbox{aqua}{azure}{\purple{❖Hypotenuse~→13cm~:)}}}$