Advertisements
Advertisements
प्रश्न
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is ______.
विकल्प
`sqrt(32)` cm
`sqrt(16)` cm
`sqrt(48)` cm
`sqrt(24)` cm
Advertisements
उत्तर
An isosceles right triangle has area 8 cm2. The length of its hypotenuse is `underlinebb(sqrt(32) cm)`.
Explanation:
Let height of triangle = h
As the triangle is isosceles,
Let base = height = h
According to the question,
Area of triangle = 8 cm2
⇒ `1/2` × Base × Height = 8
⇒ `1/2` × h × h = 8
⇒ h2 = 16
⇒ h = 4 cm
Base = Height = 4 cm
Since the triangle is right angled,
Hypotenuse2 = Base2 + Height2
⇒ Hypotenuse2 = 42 + 42
⇒ Hypotenuse2 = 32
⇒ Hypotenuse = `sqrt(32)`
Hence, the length of its hypotenuse is `sqrt(32)`
APPEARS IN
संबंधित प्रश्न
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side ‘a’. Find the area of the signal board, using Heron’s formula. If its perimeter is 180 cm, what will be the area of the signal board?
Find the area of a quadrilateral ABCD in which AB = 42 cm, BC = 21 cm, CD = 29 cm, DA =34 cm and diagonal BD =20 cm.
The adjacent sides of a parallelogram ABCD measure 34 cm and 20 cm, and the diagonal AC measures 42 cm. Find the area of the parallelogram.
Find the area of the triangle formed by the points
(1, – 1), (– 4, 6) and (– 3, – 5)
If the points A(– 3, 9), B(a, b) and C(4, – 5) are collinear and if a + b = 1, then find a and b
A man walks near a wall, such that the distance between him and the wall is 10 units. Consider the wall to be the Y-axis. The path travelled by the man is
The semi-perimeter of a triangle having sides 15 cm, 20 cm and 25 cm is
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.
The perimeter of a triangular field is 420 m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular field.
A field is in the shape of a trapezium having parallel sides 90 m and 30 m. These sides meet the third side at right angles. The length of the fourth side is 100 m. If it costs Rs 4 to plough 1 m2 of the field, find the total cost of ploughing the field.
