In a right angled triangle one of the perpendicular sides is 6 cm
longer than the other side .If the area of the triangle is 36 cm2.
Find the length of the perpendicular sides?
Answer this question with steps and I will mark as brainliest
Answers
Answer:
6,12
firstly a right angle triangle has two perpendicular lengths and one slanted length.
in this we will only use those two perpendicular which meet each other at 90' degrees.
we will use formula.
Step-by-step explanation:
1/2xbase X height
1/2 = 0.5
0.5 X (x+6) X x = 36
x^2+12x-72. we use mid term breaking or quadratic equation to solve it.
X=6
x=-12
we take X as 6
so
answer is 6 and 12
Answer:
The length of its perpendicular sides are 6 cm and 12 cm
Step-by-step explanation:
Let the length of one perpendicular side be x cm
The length of the other perpendicular side be (x + 6) cm
Now, area of triangle is 36 sq. cm
A to Q
1/2 × x × (x + 6) = 36
=> x^2 + 6x = 72
=> x^2 + 6x - 72 = 0
=> x^2 + 12x - 6x - 72 = 0
=> x(x + 12) - 6(x + 12) = 0
=> (x + 12) (x - 6) = 0
Either , x + 12 = 0 => x = -12
or x - 6 = 0 => x = 6
But length cannot be in negative , hence x = 6 cm
Thus, the length of its perpendicular sides are 6 cm and 12 cm