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GANITASIRABANGRAEA
An example in illustration thereof. 153-1537. In the the case of a quadrilateral figure with unequal sides, the (given) sonurate measure of the area is 90. And the produot of 5 multiplied by 9, as multiplied by 10, 18, 20 and 36 respectively, gives rise to the (four given) divisors. Tell me quickly, after calculating, the numerical values of the top-side, the base and (other) sides.
The rule for arriving at the numerioal value of the sider of an equilateral triangular figure possessing a given acourately measured area, when the value of (that) accurately measured area is known :
1547. Four times the (given) area is squared. The resulting quantity) is divided by 3. The quotient (80) obtained happeni to be the square of the square of the value of the side of ar equilateral triangular figure.
An example in illustration thereof. 156). In the case of a certain equilateral triangular figure the given area is only 3. ('alculate and tell me the value of its side.
After knowing the exact numerical measure of a (given area, the rule for arriving at the numerical values of the sides the base and the perpendicular of an isosceles triangular figur having that same accurately measured area (as its own) :
1567. In the case of the isosceles triangle (to be so) construo ted, the square root of the sum of the squares of the quotien obtainod by dividing the (given) area by an optionally chosen quantity, as also of (that) optionally chosen quantity, gives risi to the value of the side : twice the optionally chnsen quan tity gives the measure of the base; and the area divided by
1644. The role here given may be seen to be derived from the formula to the area of an equilateral triangle, vis., area = a'* 7 where a is th monaro of side.
166). In problems of the kind contemplaind in this rolo, the monare of the Area of an inomoeles triangle is given, And tho ralae of hall the base chouen option is also given. The mourires of the perpendicnlar and the side are the Soily derived from these kaown quantitie.
