The perimeter of right triangle is 60 cm. its hypotenuse is 25 cm. find the area of the triangles
Answers
Answered by
30
Let ABC be a right angled triangle. Since , the perimeter of a right triangle = 60 cm
thus,
AB + BC + CA = 60 cm
AB + BC + 25 = 60 cm
AB + BC = 60 - 25 = 35 cm ---- i)
In ΔABC
Using Pythagoras theorem ,
(35)2 - (25)2 = 2 (AB) (BC)
(35 - 25) (35+25) = 2(AB) (BC)
(AB) (BC) = 300
⇒ Area of right angle ABC = 150cm2
thus,
AB + BC + CA = 60 cm
AB + BC + 25 = 60 cm
AB + BC = 60 - 25 = 35 cm ---- i)
In ΔABC
Using Pythagoras theorem ,
(35)2 - (25)2 = 2 (AB) (BC)
(35 - 25) (35+25) = 2(AB) (BC)
(AB) (BC) = 300
⇒ Area of right angle ABC = 150cm2
Answered by
8
perimeter of triangle = 60
and
hypoteneius = 25
w.k.t
perimeter = sum of three sides of triangle
60 = X + X + 25
60 = 2X + 25
60-25 =2X
35 = 2X
35/2 = X
X =17.5
AREA OF TRIANGLE = 1/2 ×BASE×HEIGHT
= 1/2 × 17.5 ×17.5
=153.25 answer
and
hypoteneius = 25
w.k.t
perimeter = sum of three sides of triangle
60 = X + X + 25
60 = 2X + 25
60-25 =2X
35 = 2X
35/2 = X
X =17.5
AREA OF TRIANGLE = 1/2 ×BASE×HEIGHT
= 1/2 × 17.5 ×17.5
=153.25 answer
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