Advertisements
Advertisements
Question
Find the area of a triangle, whose sides are :
10 cm, 24 cm, and 26 cm
Solution
Sides of ∆ are
a = 10 cm
b = 24 cm
c = 26 cm
S = `(a + b + c)/2 = (10 + 24 + 26)/2`
= `60/2 = 30`
area of Δ = `sqrt(S(S - a)(S - b)(S - c))`
= `sqrt(30(30 - 10)(30 - 24)(30 - 26))`
= `sqrt(30 xx 20 xx 6 xx 4)`
= `sqrt(10 xx 3 xx 10 xx 2 xx 2 xx 3 xx 2 xx 2)`
= `sqrt(10 xx 10 xx 3 xx 3 xx 2 xx 2 xx 2 xx 2)`
= `10 xx 3 xx 2 xx 2 = 120 "cm"^2`
APPEARS IN
RELATED QUESTIONS
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 and the perimeter of quadrilateral ABCD, given below; if AB = 8 cm, AD = 10 cm, BD = 12 cm, DC = 13 cm and ∠DBC = 90°.
The base and the height of a triangle are in the ratio 5 : 3. If the area of the triangle is 67.5 m2; find its base and height.
Find the area of a triangle whose sides are 27 cm, 45 cm and 36 cm.
Find the area of a triangle whose sides are in the ratio 5:12:13 and whose perimeter is 36cm.
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.
The table given below contains some measures of the triangle. Find the unknown values.
| Side 1 | Side 2 | Side 3 | Perimeter |
| 6 cm | 5 cm | 2 cm | ? |
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
Find the perimeter of An isosceles triangle with equal sides 10 cm each and third side is 7 cm
