Advertisements
Advertisements
Question
The table given below contains some measures of the right angled triangle. Find the unknown values.
Base | Height | Area |
5 feet | ? | 20 sq.feet |
Solution
Area of the right triangle = `1/2 xx ("base" xx "height") "unit"^2`
b = 5 feet
Area = `1/2 xx "b" xx "h" "unit"^2`
20 = `1/2 xx 5 xx "h" "sq.feet"`
`(20 xx 2)/5` = h
h = 8 feet
Tabulating the unknown values
Base | Height | Area |
5 feet | 8 feet | 20 sq.feet |
APPEARS IN
RELATED QUESTIONS
The two opposite vertices of a square are (− 1, 2) and (3, 2). Find the coordinates of the other two vertices.
Find the area of the following triangle:
ΔABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (see the given figure). The height AD from A to BC, is 6 cm. Find the area of ΔABC. What will be the height from C to AB i.e., CE?
Find the centroid of the triangle whosw vertices is (1,4), (-1,1) and (3,2) .
Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.
Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42cm ?
Show that the following points are collinear:
A(8,1), B(3, -4) and C(2, -5)
If the points A (x, y), B (3, 6) and C (−3, 4) are collinear, show that x − 3y + 15 = 0.
If the points (2, -3), (k, -1), and (0, 4) are collinear, then find the value of 4k.
The dimensions of a rectangle ABCD are 51 cm × 25 cm. A trapezium PQCD with its parallel sides QC and PD in the ratio 9 : 8, is cut off from the rectangle as shown in the following figure. If the area of the trapezium PQCD is `5/6` th part of the area of the rectangle, find the lengths QC and PD.