10. If the perimeter of a rectangular plot 15 00
area.
le sum of two smaller sides of a right-angled triangle is 17 cm and the perimeter is
30cm, then find the area of the triangle.
Hint
Let one of the two smaller sides be x cm, then the other side is (17 - x) cm.
Length of hypotenuse = perimeter - sum of other two sides
= 30cm - 17 cm = 13 cm.
.: x + (17 - x)2 = 132 = x = 12, 5.
1. The hynotenucn nfninn
1
1
.
11.
1
Answers
Answered by
0
Answer:
Step-by-step explanation:
Let one of the two smaller sides be x cm
Hence, the other smaller side = (17-x) cm
Therefore, Hypotenuse = Perimeter - Sum of the 2 smaller sides
= (30-17) cm = 13 cm
A.T.P.
=)x ^2 + (17-x)^2 = 13^2
=) x^2 + 289 + x^2 - 34x = 169
=) 2x^2 -34x + 120 = 0
=) x^2 - 17x + 60 = 0
=) x^2 - 12x - 5 + 60 = 0
=) (x-12)(x-5) = 0
=) x = +12, +5
Thus, 17-x = +5, +12
Hence, the 2 smaller sides are 12 cm and 5 cm
Therefore, Area = 1/2 x base x height cm^2
= 1/2 x 12 x 5 cm^2
= 30 cm^2
Similar questions