Advertisements
Advertisements
प्रश्न
The base of a right – angled triangle measures 48 cm and its hypotenuse measures 50 cm. Find the area of the triangle.
उत्तर
Base = 48 cm
Hypotenuse 50 cm
First we will find the height of the triangle; let the height be ‘p’.
⇒ `(Hypotenuse)^2=(base)^2+p^2`
⇒`50^2=48^2+p^2`
⇒ `P^2=50^2-48^2`
⇒`P^2=(50-48) (50+48)`
⇒`P^2=2xx98`
⇒`P^2=196`
⇒`P=14cm`
Area of the triangle=`1/2xxbasexxheight`
=`1/2xx48xx14`
=`336cm^2`
APPEARS IN
संबंधित प्रश्न
The sum of the radii of two circles is 140 cm and the difference of their circumferences in 88 cm. Find the diameters of the circles.
A rectangular piece is 20m long and 15m wide from its four corners, quadrants of 3.5m radius have been cut. Find the area of remaining part.
The inside perimeter of a running track shown in the figure is 400 m. The length of each of the straight portions is 90 m, and the ends are semicircles. If the track is 14 m wide everywhere, find the area of the track. Also, find the length of the outer boundary of the track.
Find the area enclosed between two concentric cirdes of radii 6.3 cm and 8.4 cm. A third concentric circle is drawn outside the 8.4 cm circle, so that the area enclosed between it and 8.4 cm cirde is the same as that between two inner circles. Find the radii of the third circle correct to two decimal places .
The radii of two circles are 25 cm and 18 cm. Find the radius of the circle which has a circumference equal to the sum of circumferences of these two circles.
The shaded portion of the figure, given alongside, shows two concentric circles. If the circumference of the two circles is 396 cm and 374 cm, find the area of the shaded portion.
The sum of the circumference and diameter of a circle is 176 cm. Find the area of the circle.
The cost of decorating the circumference of a circular lawn of a house at the rate of ₹ 55 per metre is ₹ 16940. What is the radius of the lawn?
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36 cm and 20 cm is ______.
In reference to a circle the value of π is equal to ______.