Advertisements
Advertisements
प्रश्न
Using Heron’s formula, find the area of a triangle whose sides are 1.8 m, 8 m, 8.2 m
उत्तर
Here a = 1.8 m, b = 8 m, c = 8.2 m
s = `("a" + "b" + "c")/2`
= `((1.8 + 8 + 8.2)"m")/2`
= `18/2`
= 9 m
s – a = 9 – 1.8 = 7.2 m
s – b = 9 – 8 = 1 m
s – c = 9 – 8.2 m = 0.8
Area of triangle
= `sqrt("s"("s" - "a")("s" - "b")("s" - "c"))`
= `sqrt(9 xx 7.2 xx 1 xx 0.8)`
= `sqrt(9 xx 5.76)`
= `sqrt9 xx sqrt(576/100)`
= `3 xx 24/10`
= 3 × 2.4
= 7.2 m2
∴ Area of the triangle = 7.2 sq.m
APPEARS IN
संबंधित प्रश्न
There is a slide in the park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see the given figure). If the sides of the wall are 15m, 11m, and 6m, find the area painted in colour.
A triangle has sides 35 cm, 54 cm and 61 cm long. Find its area. Also, find the smallest of its altitudes ?
The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle and the height corresponding to the longest side.
The perimeter of an isosceles triangle is 42 cm and its baše is (32) times each of the equal sides. Find the length of each side of the triangle, area of the triangle and the height of the triangle.
Find the area of a triangle whose sides are 3 cm, 4 cm and 5 cm respectively.
Determine whether the sets of points are collinear?
`(-1/2, 3), (-5, 6) and (-8, 8)`
A triangular shaped glass with vertices at A(– 5, – 4), B(1, 6) and C(7, – 4) has to be painted. If one bucket of paint covers 6 square feet, how many buckets of paint will be required to paint the whole glass, if only one coat of paint is applied
The area of triangle formed by the points (− 5, 0), (0, – 5) and (5, 0) is
Find the area of a triangle formed by the lines 3x + y – 2 = 0, 5x + 2y – 3 = 0 and 2x – y – 3 = 0
From a point in the interior of an equilateral triangle, perpendiculars are drawn on the three sides. The lengths of the perpendiculars are 14 cm, 10 cm and 6 cm. Find the area of the triangle.
