Advertisements
Advertisements
Question
Two sides of a triangle are 6 cm and 8 cm. If the height of the triangle corresponding to 6 cm side is 4 cm; find :
(i) area of the triangle
(ii) height of the triangle corresponding to 8 cm side.
Advertisements
Solution
BC = 6 cm
height AD = 4 cm
area of Δ = `1/2 "base" xx "height"`
= `1/2 xx "BC" xx "AD"`
= `1/2 xx 6 xx 4 = 12 "cm"^2`
Again area of Δ = `1/2 "AC" xx "BE"`
`12 = 1/2 xx 8 xx "BE"`
∴ BE = `(12 xx 2)/8`
BE = 3 cm
∴ (i) 12 cm2 (ii) 3 cm
APPEARS IN
RELATED QUESTIONS
AD is altitude of an isosceles triangle ABC in which AB = AC = 30 cm and BC = 36 cm. A point O is marked on AD in such a way that ∠BOC = 90o. Find the area of quadrilateral ABOC.
In triangle ABC; angle A = 90o, side AB = x cm, AC = (x + 5) cm and area = 150 cm2. Find the sides of the triangle.
Find the area of an isosceles triangle with perimeter is 36 cm and the base is 16 cm.
The area of an equilateral triangle is `144sqrt3` cm2; find its perimeter.
The altitude and the base of a triangular field are in the ratio 6: 5. If its cost is ₹ 49,57,200 at the rate of ₹ 36,720 per hectare and 1 hectare = 10,000 sq. m, find (in metre) dimensions of the field.
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 |
| ? | 8 m | 3 m | 17 m |
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?
Two sides of a triangle are 12 cm and 14 cm. The perimeter of the triangle is 36 cm. What is its third side?
