Question

3
If c is the hypotenuse of a right triangle,
of sides a, b and c, find the third side.
(i) b = 12 cm and c = 13 cm
(ii) a = 8 cm and b = 6 cm
(iii) a = 9 cm and c = 41 cm​

Answer 1

Step-by-step explanation:

1. B=12cm and C=13cm

By using the pythagoreous theorem

(H)²=(P)²-(B) ²

(13)²=(P) ²-(12)²

169=(P) ²-144

(P) ²=169-144

(P) ²=25cm

All solve by this formula to get your answer

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Answer 2

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according to Pythagoras theorem

1.

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

therefore if the hypotenuse is = 13

then =

$13 {}^{2} + 12 {}^{2} + x {}^{2}$

$169 + 144 + x {}^{2}$

$313 + x {}^{2}$

$x = \sqrt{313}$

x= 17.69

2.

$8 {}^{2} + 6 {}^{2} + x {}^{2}$

$64 + 36 + x {}^{2}$

$x = \sqrt{100} \\ x = 10$

3.

$9 {}^{2} + 41 {}^{2} +x {}^{2} \\ 81 + 2401 + x {}^{2} \\ 2482 + x {}^{2} \\ x = \sqrt{2482 } \\ x = 41.89$

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