Question

Construct a right-angled triangle, given that hypotenuse = 9.5 cm and another side = 6.5 cm.
Measure the third side.​

Answer 1

Step-by-step explanation:

9.5^2=90.25

6.5^2=42.25

90.25+42.25=132.50

Answer 2

Step-by-step explanation:

given

hypotenuse=9.5cm

another side=6.5cm

find

third side of right angle triangle

let

the third side be x

now

according to Pythagoras' formula

$h{}^{2} = p {}^{2} + \: b {}^{2} \\ here \\ h = 9.5 \: \: \: \: p = 6.5 \: \: \: \: b = x \\ = >(9.5) {}^{2} = (6.5) {}^{2} + (x) {}^{2} \\ = >90.25 = 42.25 + {x}^{2} \\ = > {x}^{2} = 90.25 - 42.25 \\ = > x {}^{2} = 48 \\ = > x = \sqrt{48} = \sqrt{16 \times 3} = 4 \sqrt{3} \\ = > x = 4 \times 1.73 = 6.92$

hence the third side is 6.92

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