Question

State and prove Pythagoras theorm​

Answer 1

Pythagoras' theorem :-

→ In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Step-by-step explanation:

It's prove :-

➡ Given :-

→ A △ABC in which ∠ABC = 90° .

➡To prove :-

→ AC² = AB² + BC² .

➡ Construction :-

→ Draw BD ⊥ AC .

➡ Proof :-

In △ADB and △ABC , we have

∠A = ∠A ( common ) .

∠ADB = ∠ABC [ each equal to 90° ] .

∴ △ADB ∼ △ABC [ By AA-similarity ] .

⇒ AD/AB = AB/AC .

⇒ AB² = AD × AC ............(1) .

In △BDC and △ABC , we have

∠C = ∠C ( common ) .

∠BDC = ∠ABC [ each equal to 90° ] .

∴ △BDC ∼ △ABC [ By AA-similarity ] .

⇒ DC/BC = BC/AC .

⇒ BC² = DC × AC. ............(2) .

Add in equation (1) and (2) , we get

⇒ AB² + BC² = AD × AC + DC × AC .

⇒ AB² + BC² = AC( AD + DC ) .

⇒ AB² + BC² = AC × AC .

Answer 2

Step-by-step explanation:

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Q. Wʜᴀᴛ ɪs ᴛʜᴇ ᴘʟᴀᴄᴇ ᴠᴀʟᴜᴇ ᴏғ 5 ɪɴ 150 ?

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Tʜᴇ ᴘʟᴀᴄᴇ ᴠᴀʟᴜᴇ ᴏғ 5 ɪɴ 150 ɪs 10 ᴛʜ ᴘʟᴀᴄᴇ.

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