Math, asked by chhabrasanket97, 3 months ago

The hypotenuse of an isosceles right angled triangle is 12 cm. Find its area.​

Answers

Answered by Anonymous
6

Let ABC be the given triangle right angled at B with AB=BC — (1)

AREA OF TRIANGLE = 12CM^2

Area of triangle = 1/2bh

==》 1/2 × BC × AB = 12

==》1/2 × BC × BC = 12

==》1/2 × BC^2 = 12

BC^2 = 24

BC = 4.9CM (APPROX )

Length of the base= 4.9 cm (approx )

Answered by srijita200642
18

Hᴇʀᴇ's Yᴏᴜʀ Aɴsᴡᴇʀ:-

Lᴇᴛ ABC ʙᴇ ᴀ Rɪɢʜᴛ Aɴɢʟᴇᴅ Isᴏsᴄᴇʟᴇs Tʀɪᴀɴɢʟᴇ Wʜᴏsᴇ Hʏᴘᴏᴛᴇɴᴜsᴇ ɪs 12 ᴄᴍ ( AC ).

Bʏ Pʏᴛʜᴀɢᴏʀᴀs Tʜᴇᴏʀᴀᴍ,

AC² = AB² + BC²

AB = BC ( ABC ɪs ᴀɴ Isᴏsᴄᴇʟᴇs Tʀɪᴀɴɢʟᴇ )

AB² = BC²

AC² = AB² + BC²

AC² = AB² + AB²

(12ᴄᴍ)² = 2AB²

144ᴄᴍ² = 2AB²

AB² = 144ᴄᴍ²/2

AB² = 72ᴄᴍ²

AB = √72ᴄᴍ²

AB = 6√2ᴄᴍ

Tʜᴇʀᴇғᴏʀᴇ, BC = 6√2ᴄᴍ

Aʀᴇᴀ ᴏғ Tʜᴇ Tʀɪᴀɴɢʟᴇ = ½ × AB × BC

= ½ × 6√2 × 6√2

= ½ × 72ᴄᴍ²

= 36ᴄᴍ²

Tʜᴇʀᴇғᴏʀᴇ, Tʜᴇ Aʀᴇᴀ ᴏғ Tʀɪᴀɴɢʟᴇ ɪs 36ᴄᴍ².

Hᴏᴘᴇ ɪᴛ Hᴇʟᴘs ᴜʜ......

Hᴀᴠᴇ ᴀ Gʀᴇᴀᴛ Dᴀʏ......

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