Question

The hypotenuse of a right angled triangle is 17cm long and the difference between the other two is 7 cm. Find the lengths of unknown two sides.
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Answer 1

Question:

The hypotenuse of a right angled triangle is 17cm long and the difference between the other two is 7 cm. Find the lengths of unknown two sides.

Given:

• Hypotenuse of the right angled triangle = 17cm

• Difference between the Sides = 7cm

• Let one side be y and the other side will be (y + 7)

To Find:

The Other 2 sides

Theorem Used:

Pythagoras Theorem

Solution:

By Using Pythagoras Theorem:

$y^2+(y+7)^2=17^2\\\\\\y^2+y^2+14x+49=289\\\\\\y^2+y^2+14x+49-289=0\\\\\\2y^2+14x-240=0\\\\\\y^2+7y-120=0\\\\\\y^2+15y-8y-120=0\\\\\\y(y+15)-8(y+15)=0\\\\\\(y+15)(y+8)=0\\\\\\y=-15 \:\:or \:\:8$

y = 8cm

• y = 8cm

• (y+7) = (8+7) = 15cm

Answer :

Therefore the 2 sides of the triangle are 8cm and 15cm

Be Brainly!