Question

help me out i will give brainly

Answer 1

Answer:

96 units²

Step-by-step explanation:

area of right angled triangle=½ a√c²-a²

let a=16 and c=20

area of right angled triangle=½*16 √20² - 16²

= 8 √ 400 - 256

= 8 √ 144

= 8 * 12

= 96 units²

Therefore , area of given right angled triangle is 96 units²

HOPE IT HELPED

Answer 2

${\fcolorbox{blue}{blue}{\pink{Here's\: the\: required\: Answer\:»»}}}$

Given here ,

ㅤㅤㅤ➪ height ( AB ) = 16 units

ㅤㅤㅤ➪ base ( BC )ㅤ= 12 units

ㅤㅤㅤ➪ Hypotenuse ( AC ) = 20 units

ㅤㅤㅤ➪ $\angle$ ABC = 90⁰

ㅤㅤㅤ

•°• The above one is a right triangle

• By Pythagoras Theorem ( proof )

ㅤㅤㅤ➪ AB² + BC² = AC²

ㅤㅤㅤ➪ ( 16 )² + ( 12 )² = ( 20 )²

ㅤㅤㅤ➪ 256 + 144 = 400

ㅤㅤㅤ➪ 400 = 400

ㅤㅤㅤ➪ L.H.S = R.H.S

Now ,

• Area of the triangle :

ㅤㅤㅤ$\boxed{\sf{\red{\dfrac{1}{2} \times b \times h }}}$

ㅤㅤㅤ➪ $\sf{\dfrac{1}{2} \times 12 \times 16 }$

ㅤㅤㅤ➪ $\sf{\dfrac{12 \times 16}{2}}$

ㅤㅤㅤ➪ $\sf{\dfrac{192}{2}}$

ㅤㅤㅤ➪ 96

• correct answer = $\boxed{\bf{96\: units}}$

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ㅤㅤㅤ꧁ ʙʀᴀɪɴʟʏ×ᴋɪᴋɪ ꧂