Advertisements
Advertisements
Question
Use the information given in the adjoining figure to find :
(i) the length of AC.
(ii) the area of an ∆ABC
(iii) the length of BD, correct to one decimal place.
Advertisements
Solution
AB = 24 cm, BC = 7 cm
(i)
AC = `sqrt("AB"^2 + "BC"^2)`
= `sqrt(24^2 + 7^2)`
= `sqrt(576 + 49)`
= `sqrt(625) = 25` cm
(ii)
Area of ΔABC = `1/2 "AB" xx "BC"`
= `1/2 xx 24 xx 7 = 84` cm2
(iii)
BD ⊥ AC
Area ΔABC = `1/2 "AC" xx "BD"`
`84 = 1/2 xx 25 xx "BD"`
⇒ BD = `(84 xx 2)/25 = 168/25 = 6.72` cm
= 6.72 cm ≈ 6.7 cm
APPEARS IN
RELATED QUESTIONS
Find the area of a triangle whose sides are 18 cm, 24 cm, and 30 cm. Also, find the length of altitude corresponding to the largest side of the triangle.
The length of the sides of a triangle are in the ratio 3: 4: 5. Find the area of the triangle if its perimeter is 144 cm.
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
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°.
Two sides of a triangle are 6.4 m and 4.8 m. If the height of the triangle corresponding to 4.8 m side is 6 m;
find :
(i) area of the triangle ;
(ii) height of the triangle corresponding to 6.4 m sides.
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| 11 feet | ? | 9 feet | 28 feet |
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 A scalene triangle with sides 7 m, 8 m, 10 m
A piece of string is 30 cm long. What will be the length of each side if the string is used to form an equilateral triangle?
