Advertisements
Advertisements
प्रश्न
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
Advertisements
उत्तर
The area of the triangle is given as 150 sq.cm
`1/2 xx x xx ( x + 5 ) = 150`
x2 + 5x - 300 = 0
( x + 20 )( x - 15 ) = 0
x = 15
Hence AB = 15cm, AC = 20 cm and
BC = `sqrt( 15^2 + 20^2 )` = 25 cm.
APPEARS IN
संबंधित प्रश्न
ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate:
(i) The area of ΔABC,
(ii) The length of the perpendicular from A to BC.
Find the area and the perimeter of quadrilateral ABCD, given below; if AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
The perimeter of a triangle is 72cm and its sides are in the ratio 3:4:5. Find its area and the length of the altitude corresponding to the longest side.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| ? | 8 m | 3 m | 17 m |
Find the perimeter and the area of a right angled triangle whose sides are 6 feet, 8 feet and 10 feet
Find the perimeter of An isosceles triangle with equal sides 10 cm each and third side is 7 cm
Find the perimeter of An equilateral triangle with side 6 cm
The scalene triangle has 40 cm as its perimeter and whose two sides are 13 cm and 15 cm, find the third side
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
