Math, asked by anurag163, 1 year ago

if the base of a right angle triangle is 8 cm and hypotenuse is 17 cm find its area

Answers

Answered by mohitparmar
1
area= 8*15/2=60cm^2
area =1/2b*h
Answered by thebrainlykapil
60

Given :-

  • Shape = Right Angled Triangle
  • Base of Triangle = 8cm
  • Hypotenuse of Triangle = 17cm

 \\

To Find :-

  • Area of the Triangle

 \\

Solution :-

Using Pythagoras Theorem :

⟾⠀⠀(H)² = (P)² + (B)²

⟾⠀⠀(17)² = (P)² + (8)²

⟾⠀⠀289 = (P)² + 64

⟾⠀⠀289 - 64 = (P)²

⟾⠀⠀225 = (P)²

⟾⠀⠀√225 = P

⟾⠀⠀25cm = Perpendicular/Height

________________

Now,

⟼⠀Area of Triangle = ½ × Base × Height

⟼⠀Area of Triangle = ½ × 8 × 15

⟼⠀Area of Triangle = 4 × 15

⟼⠀Area of Triangle = 60cm²

Thus, Area of Triangle = 60cm²

________________

Similar questions