sum of the perimeter and area of the triangle is 126. the area is twice of the perimeter. the length of one of its altitude is 12. find the length of all 3 sides of this triangle.
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sum of the perimeter and area of the triangle is 126. the area is twice of the perimeter. the length of one of its altitude is 12. find the length of all 3 sides of this triangle.
Answered by
1
Answer:
Base of a triangle is 4 cm longer than its altitude.
Area of triangle =48 cm
2
Let base of triangle =b
Altitude =b−4
Area =
2
1 /2 ×b×h=48
1×b×(b−4)=48
b
2
−4b−96=0
(b−12)(b+8)=0
But, base cannot be negative
So, base =12 cm
Altitude=12−4=8 cm.
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