Question

*What is the length of hypotenuse if the sides of right angle are 6 and 8?*

1️⃣ 14 unit
2️⃣ 2 unit
3️⃣ 10 unit
4️⃣ 12 unit​

Answer 1

answer

10 unit

Step-by-step explanation:

8² is 64

6² is 36

if we add 64+36 is 100 so 10² is 100

Answer 2

DIAGRAM :

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Given : Two sides of right angled triangle are 6 units and 8 units respectively.

To Find : Length of the hypotenuse of the right angled triangle.

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀____________________

Here

$\: \:$

• Perpendicular, AB = 6 units
• Base, BC = 8 units
• Hypotenuse, AC = ?

$\: \:$

As we know that -

$\: \:$

$\star \: \underline{\boxed{\sf\pink{AB {}^{2} + BC {}^{2} = AC {}^{2} }}}$

$\: \:$

Now,

$\: \:$

$\sf:\implies \: AB {}^{2} + BC {}^{2} = AC {}^{2} \\ \\ \\ \sf:\implies \:(6) {}^{2} + (8) {}^{2} = AC {}^{2} \\ \\ \\ \sf:\implies \: 36 + 64 = AC {}^{2} \\ \\ \\ \sf:\implies \: 100 = AC {}^{2} \\ \\ \\ \sf:\implies \: AC = \sqrt{100} \\ \\ \\ \sf:\implies \:\underline{\boxed{\mathfrak\purple{AC = 10 \: units}}} \: \bigstar \\ \\ \\ \\ \sf \therefore{ \underline{Hence, \: the \: hypotnuse \: of \: the \: right \: angled \: triangle \: is \: \bold{10 \: units}.}}$