Question

3. Find the area of the triangle whose sides are 42 cm, 34 cm and 20 cm in<br />length. Hence, find the height corresponding to the longest side.​​

Answer 1

Step-by-step explanation:

ʜᴇʟʟᴏ ᴍᴀᴛᴇ!

Area of triangle by Heron's formula :-

√[ s( s - a )( s - b )( s - c )] where, s = ( a + b + c )/2

s = ( 42 + 34 + 20 ) cm / 2

= ( 96 ) cm / 2 or 48 cm

√[ 48( 48 - 42 )( 48 - 34 )(48-20)

√[ 2³ × 6 × 6 × 2 × 7 × 2² × 7 ]

= ( 2 × 2 × 2 × 6 × 7 ) cm² = 48*7 cm² or 336 cm²

Longest side = 42 cm

Area of ∆ = 1/2 × base × height

336 cm² = 1/2 × 42 cm × h

336 cm² × 2/42 cm = height

8*2 cm = h or height = 16 cm

\boxed{ Answer : height \: is \: 16 cm }

Hope it helps

Answer 2

Answer:

$\huge \bold \blue{Answer࿐}$

Your Q answer in the attachment⬆️