Question

The sides of a right angled triangle containing 8 cm and 15cm .find the length of the hypotenuse

Answer 1

Answer:

(hyp)²= 8²+15² = 64+225 = 289

hyp =√289 = 17cm

Answer 2

GIVEN :-

• Base of Right triangle = 8 cm.
• Perpendicular of right triangle = 15 cm.

TO FIND :-

• The hypotenuse of right Triangle.

SOLUTION :-

➬ Base (BC) = 8 cm.

➬ Perpendicular (AB) = 15 cm.

➬ Hypotenuse (AC) = ?

☯ By Pythagoras theorem,

➬ AB² + BC² = AC²

➬ AC² = AB² + BC²

➬ AC² = (15)² + (8)²

➬ AC² = 225 + 64

➬ AC² = 289

➬ AC = √289

➬ AC = 17 Cm.

Hence hypotenuse of right Triangle is 17 cm.

VERIFICATION :-

➬ AC² = AB² + BC²

➬ (17)² = (15)² + (8)²

➬ 289 = 225 + 64

➬ 289 = 289

L.H.S = R.H.S

HENCE VERIFIED ✔