Square root - practice problems - page 3 of 69

Number of problems found: 1376

Height or altitude
Find the altitude (in cm) of side MT of triangle MNT with side MN = 36 cm, MT = 36 cm and NT = 48 cm.
Mean proportional
If x+7 is the mean proportional between (x+3) and (x+12), find the value of x .
Missing side length
Use the Pythagorean Theorem (a² + b²=c²) to find a unknown side length: a = 5; c = 13 ; b=?
Number 77
Find a number which is as much greater than 31 as it is less than 77. Many failed to do it!
PQR - Euclid
Find the length of line segment PR - leg of the right triangle PQR. PQ=17 cm PS=15 cm QS=8 cm; Point S is the height touch point with a hypotenuse of the RQ.
A conical
A conical tent can accommodate 11 people. Each person needs 4 m² of space on the ground and 20 m³ of air to breathe. Find the height of the tent.
Find area 2
Find the area of the green region in the given picture. Dimensions are shown.
Slant height 3
The frustum of a right circular cone has the diameters of base 10 cm of top 6 cm and a height of 5 cm. Find the slant height.
Smaller square
Let the points A, B, C and D are midpoints of the sides of the square PQRS. If the area of PQRS is 100 sq cm, what is the area of the smaller square ABCD?
A trader
A trader sold two saree at Rs 96 each & it causes the same% of profit and loss to each saree. If, as a whole he gets total loss of 4%, then what is the gain/loss% in the sale?
The area 5
The area of a rhombus is 144 sq cm. If one of the diagonals is double the other, find the length of the diagonals.
A parallelogram
The area of a parallelogram is 338 m². If its altitude is twice the corresponding base, find the base and the altitude.
Parallelogram - right angles
In parallelogram ABCD; AB = 16 cm, BC = 12 cm and diagonal AC = 20 cm. Find the area of the parallelogram.
The product 15
The product of two consecutive even numbers is 48. If the square of the smaller number is 35, what is the other number?
An equilateral triangle 2
If the sides of an equilateral triangle are increased by 2 meters, the area is increased by 7√3 square meters. Find the length of the side.
A tree 2
A tree is broken at a height of 6 m from the ground and its top touches the ground at a distance of 8 m from the base of the tree. Find the original height of the tree.
Sides to area
If the sides of a triangle are 26 cm, 24 cm, and 10 cm, what is its area?
Triangular field
Find the area of a triangular field whose sides are 78m, 50m, and 112m.
Sum of squares
The product of two numbers is 12. If the sum of their squares is 40, find the numbers.
Mean proportional
What will be the mean proportion between 4 and 25?

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