Question

2. ABC is a triangle right angled at B. If AC = 17 cm and AB = 15 cm, find BC.

Answer 1

ɢɪᴠᴇɴ :-

• ABC is a triangle right angled at B and AC = 17cm and AB = 15cm

ᴛᴏ ғɪɴᴅ :-

• BC

sᴏʟᴜᴛɪᴏɴ :-

Here,

• AC (hypotenuse) = 17cm
• AB (perpendicular) = 15cm
• BC = ?

ᴀs ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ,

• Hypotenuse ² = perpendicular ² + base²

↬AC² = AB² + BC²

↬(17)² = (15)² + BC²

↬BC² = (17)² - (15)²

↬BC² = 289 - 225

↬BC² = 64

↬BC = √64

↬BC = 8cm

∴ Hence, the value of BC is 8cm.