Question

2) Hypotenuse = 12.3cm One adjacent side = 12cm Second adjacent side = ?​

Answer 1

Answer:

2.7 cm

Step-by-step explanation:

Hypotenuse, h = 12.3cm

One adjacent side, p = 12cm

Second adjacent side, b = ?

Using Pythagoras theorem: p² + b² = h²

⇒ 12² + b² = 12.3²

⇒ 144 + b² = 151.29

⇒ b² = 151.29 - 144 = 7.29

⇒ b = √7.29

⇒ b = 2.7 cm

Other adjacent side is 2.7 cm.

Answer 2

$\sf\LARGE\underline \red{Answer: }$

• Second adjacent side is 2.7cm

$\sf \LARGE\underline \blue{Given : }$

• Hypotenuse = 12.3cm
• One adjacent side = 12cm

$\sf \LARGE\underline \pink{To \: find : }$

• Second adjacent side

$\sf \LARGE\underline \orange{Solution : }$

Finding the second adjacent side we have to use the Pythagoras theorem then we get the answer.

Given,

• Hypotenuse (h) is 12.3cm
• One adjacent side (p) is 12cm

$\sf \underline \purple{We \: know \: that : }$

$\boxed { \sf \star \:Pytghagoras \: theorem \: = \: {p}^{2} + {b}^{2} = {h}^{2} }$

• p is first adjacent side
• b is second adjacent side
• h is hypothenuse

$\sf \underline \red{Putting \: the \: value : }$

$\sf \implies{ {p}^{2} + {b}^{2} = {h}^{2}}$

$\sf \implies{ {(12)}^{2} + {(b)}^{2} = {(12.3)}^{2}}$

$\sf \implies{ 144 + {b}^{2} = 151.29}$

$\sf \implies{{b}^{2} = 151.29 - 144}$

$\sf \implies{{b}^{2} = 7.29}$

$\sf \implies{b = \sqrt{7.29}}$

$\sf \implies{b = 2.7cm}$

$\sf \underline\blue{ \therefore \: Second \: adjacent \: side \: is \: 2.7cm}$