Question

find area of triangle whose sides are 17cm, 8cm, 15cm long also find ht corresponding to the longer side​

Answer 1

Answer:

1020 cm square

Step-by-step explanation:

area of triangle =1/2×base×height×altitude

=1/2×17×8×15

=1020 cm square

please follow me

Answer 2

$\setlength{\unitlength}{1.5cm}\begin{picture}(6,8)\linethickness{0.5mm}\qbezier(1,.5)(2,1)(4,2)\qbezier(4,2)(2,3)(2,3)\qbezier(2,3)(2,3)(1,0.5)\put(.7, .3){ C }\put(4.05, 1.9){ B }\put(1.7, 2.95){ A }\put(3.2, 2.5){\sf{8 cm}}\put(0.7,1.7){\sf{15 cm}}\put(2.7, 1.05){\sf{17cm}}\end{picture}$

Gɪᴠᴇɴ :-

• Sides of Triangle = 17cm, 8cm, 15cm

ᴛᴏ ғɪɴᴅ :-

• Area of Triangle
• Height corresponding to longer side (17 cm)

sᴏʟᴜᴛɪᴏɴ :-

On using HERON'S FORMULA, we get,

• Area = √s(s - a) (s - b) (s - c)

where,

➠ s = Perimeter of triangle /2

➠ s = (17 + 8 + 15) / 2

➠ s = 40/2

➠ s = 20 cm

And, a , b, c are sides of triangle

So,

➭ Area = √s(s - a) (s - b) (s - c)

➭ √20 ( 20 - 17)(20 - 8)(20 - 15)

➭ √20 × 3 × 12 × 5

➭ √60 × 60

➭ 60 cm²

Hence,

• Area of Triangle = 60 cm²

$\rule{200}2$

Now,

We know that,

• Area of Triangle = ½ × Base(b) × Height (h)

On taking longer side as base , we get,

➭ 60 = ½ × 17 × h

➭ 60 × 2 = 17h

➭ 120/17 = h

➭ h = 7.05 cm

Hence,

• Height (h) corresponding to longer side = 7.05 cm

$\rule{200}3$