Question

e) If in a right-angled triangle, base
is 4 m and perpendicular is 3 m,
the length of hypotenuse is​

Answer 1

Answer:

Step-by-step explanation:

In a Right angled Triangle ,

Hypotenuse = √(base)²+(perpendicular)²

= √(4)²+(3)² = √(16+9) = √25

Hypotenuse = 5 cm

Answer 2

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If in a right-angled triangle, base is 4 m and perpendicular is 3 m, the length of hypotenuse is ?

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Length of hypotenuse is 5m

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• Base = 4m
• Perpendicular = 3m

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Length of hypotenuse

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Pythagorous Theorem,

$\bf \pink{ {Base}^{2} + {Perpendicular}^{2} = {Hypotenuse}^{2} }$

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B = Base

P = Perpendicular

H = Hypotenuse

Pythagorous Theorem,

$\bf{h}^{2} = {b}^{2} + {p}^{2}$

$\bf{Hypotenuse}^{2} = {4}^{2} + {3}^{2}$

$\bf{Hypotenuse}^{2} = 16 + 9$

$\bf{Hypotenuse}^{2} = 25$

$\bf{Hypotenuse}^{} = \sqrt{25}$

$\bf{Hypotenuse} = 5m$

Therefore, Lenght of Hypotenuse is 5m.

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