if the base of a right angle triangle is 8 cm and hypotenuse is 17 cm find its area
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Answered by
1
area= 8*15/2=60cm^2
area =1/2b*h
area =1/2b*h
Answered by
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
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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
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