Math, asked by LitChori01, 10 months ago

•Pythagoras Theorem Question•

pls solve this...the answer behind is a =) 20.8cm ..no spamming❌...Attempt this question only if u get the correct ans...

THANX❤

@princessemaanu2006​

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Answers

Answered by Anonymous
10

Hey Emaanu ☺️

Given :

RQ = QS

RS = 14.8 cm

PS = 7.5 cm

To Find :

a = ?

Solution :

In triangle SQR

Let QS = QR = g

Now,

P = QS = g

B = QR = g

H = RS = 14.8(given)

By Pythagoras Thm.

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

 {g}^{2}  +  {g}^{2}  =  {14.8}^{2}  \\ 2 {g}^{2}  = 219.04 \\  {g}^{2}  =  \frac{219.04}{2}  \\  {g}^{2}  = 109.52 \\ g \:  =  \sqrt{109.52}  \\ g \:  =  \: 10.465 \: cm \\ g = 10.47 \: cm

PQ = PS + QS

QS = QR = g = 10.47 cm

PQ = 7.5 +10.47

PQ = 17.97 cm

Now, in triangle PQR

P = PQ = 17.97 cm

B = QR = 10.47 cm

H = a

 {p}^{2}  +  {b}^{2}  =  {h}^{2}  \\  {(17.97)}^{2}  +  {(10.47)}^{2}  =  {a}^{2}  \\ 322.92 \:  +  \: 109.62 \:  =  {a}^{2}  \\  {a}^{2}  = 432.54 \\ a \:  =  \sqrt{432.54}  \\ a \:  = 20.79  \: cm \: \\ a \:  = 20.8 \: cm

I Hope it helps you ☺️ ✌️ ✌️

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Answered by pranay0144
21

Step-by-step explanation:

This will help

..........

#bye

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