Question

Calculate the length of the unknown side in each of the following right-angles triangles.

please answer this question
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Answer 1

Answer:

Length of unknown side = 12cm

Step-by-step explanation:

According to Pythagoras theorem, a² + b² = c² ( hypotenuse)

So, a² + 9² = 15²

a² + 81 = 225

a² = 225 - 81 = 144

therefore, a = 12 cm ( since 12 × 12 = 144)

hope it helps

Answer 2

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$$= > {x}^{2} = 225 - 81$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$$= > {x}^{2} = 225 - 81$$= > {x}^{2} = 144$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$$= > {x}^{2} = 225 - 81$$= > {x}^{2} = 144$$= > {x}^{2} = {(12)}^{2}$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$$= > {x}^{2} = 225 - 81$$= > {x}^{2} = 144$$= > {x}^{2} = {(12)}^{2}$$= > x = 12cm$

Since, the triangle is a right angle triangle, we can use Pythagoras theorem here.Let the third side be x cm.By using Pythagoras theorem,$= > {(15)}^{2} = {(9)}^{2} + {x}^{2}$$= > {x}^{2} = {(15)}^{2} - {(9)}^{2}$$= > {x}^{2} = 225 - 81$$= > {x}^{2} = 144$$= > {x}^{2} = {(12)}^{2}$$= > x = 12cm$Hence, the length of third side is 12 cm.

Hope this answer helps you ^_^ !