Question

Solve using Pythagoras Theorem ​

Answer 1

Answer:9

i) 10 cm  ii) 24 cm  iii) 12 cm

Step-by-step explanation:

i) given:- a=8 cm   and   b= 6 cm

by Pythagoras Theorem

= $c^{2}$ = $a^{2} + b^{2}$

= $c^{2}$ = $8^{2} + 6^{2}$

= c = $\sqrt{100}$

= c = 10 cm

ii) given:- c= 25 cm   and   b= 7 cm

by Pythagoras Theorem

= $a^{2}$ =  $c^{2}$ - $b^{2}$

= $a^{2}$ = $25^{2} - 7^{2}$

= a = $\sqrt{576}$

= a = 24

iii) given:- c= 13 cm   and   a= 5 cm

by Pythagoras Theorem

=  $b^{2}$ =  $c^{2}$ - $a^{2}$

= $b^{2}$ = $13^{2} - 5^{2}$

= b = $\sqrt{144}$

= b = 12 cm

these are the answers.

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Answer 2

Answer:

(i) 10cm

(ii) 24cm

(iii) 12

Step-by-step explanation:

For pythagoras theorem, we will use:

$a^2+b^2=c^2$

(i)

$8^2+6^2= c^2\\64+36= c^2\\100=c^2\\c= \sqrt{100}\\ c= 10$

(ii)

$a^2+7^2= 25^2\\a^2+49= 625\\a^2=625-49\\a= \sqrt{576}\\ c= 24$

(iii)

$5^2+b^2= 13^2\\25+b^2= 169\\b^2=169-25\\b= \sqrt{144}\\ c= 12$

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