Advertisements
Advertisements
Question
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
Advertisements
Solution
Let the sides of a triangle be a = 27cm, b = 45cm and c = 36cm
Semi-perimeter of a tirangle = s
= `("a" + "b" + "c")/(2)`
= `(27 + 45 + 36)/(2)`
= 54cm
Area of a triangle
= `sqrt("s"("s" - "a")("s" - "b")("s" - "c")`
= `sqrt(54(54 - 27)(54 - 45)(54 - 36)`
= `sqrt(54 xx 27 xx 9 xx 18)`
= `sqrt(6 xx 6 xx 3 xx 9 xx 9 xx 6 xx 3)`
= `sqrt(6 xx 6 xx 3 xx 3 xx 9 xx 9 xx 9)`
= 6 x 3 x 9 x 3
= 486cm2.
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.
If the difference between the sides of a right-angled triangle is 3 cm and its area is 54 cm2; find its perimeter.
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
The sides of a triangle are 16 cm, 12 cm, and 20 cm. Find :
(i) area of the triangle ;
(ii) height of the triangle, corresponding to the largest side ;
(iii) height of the triangle, corresponding to the smallest side.
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.
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.
Find the area of a right angled triangle whose hypotenuse is 15cm and the base is 9cm.
Find the area of a triangle with a base 12cm and a height equal to the width of a rectangle having area of 96cm2 and a length of 12cm.
Find the perimeter of A scalene triangle with sides 7 m, 8 m, 10 m
Find the perimeter of a triangle with sides measuring 10 cm, 14 cm and 15 cm.
