the perimeter of a right angle triangle is 24 cm and its area is 25 CM square find the side of the triangle
Answers
Answered by
1
Answer:
84
Step-by-step explanation:
H^2 = P^2+B^2
25^2 = P^2+24^2
625 = P^2+576
625-576 = P^2
P^2 = 49
P = √49
P = 7
area of a triangle = 1/2 × b×h
= 1/2 × 24 × 7
= 12×7
= 84 cm^2
Answered by
1
Answer:
area of triangle is 24 cm
Step-by-step explanation:
Let ABC is a right angled triangle.
i) Perimeter of ∆ABC = 24
=> x+y+10=24
=> x+y = 24-10
=> x+y = 14 ---(1)
ii)By Phythagoras theorem:
AC²= AB²+BC²
=> 10²= x² + y²
=> x²+y² = 100 ---(2)
iii) On Squaring equation (1), we get
=> (x+y)² = 14²
=> x²+y²+2xy = 196
=> 100+2xy = 196
=> 2xy = 196-100
=> 2xy = 96
Divide both sides by 2 , we get
=> xy = 48 ---(3)
Now ,
area of triangle = 1/2 × AB× BC
1/2 × xy
1/2 × 48
From (3)
= 24 cm
Therefore,
area of triangle is 24 cm
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