The sum of three altitudes of a triangle...

The sum of three altitudes of a triangle is

equal to the sum of three sides

less than the sum of sides

greater than the sum of sides

twice the sum of sides

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Fill in the blanks to make the following statements true: In a right triangle the hypotenuse is the ...... side. The sum of three altitudes of a triangle is ......... than its perimeter. The sum of any two sides of a triangle is ......... than the third side. If two angles of a triangle are unequal, then the smaller angle has the ........... side opposite to it. Difference of any two sides of a triangle is ......... than the third side. If two sides of a triangle are unequal, then the larger side has ..... angle opposite to it.

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle.

Show that the sum of the three altitudes of a triangle is less than the sum of three sides of the triangle. GIVEN : A A B C in which A D_|_B C ,B E_|_A C and C F_|_A Bdot PROVE : A D+B E+C F

The sum of altitudes of a triangle is than the perimeter of the triangle._______

The sum of all the altitudes in a triangle is …………… the sum of all the sides. (equal to/less than/greater than).

The sum of the three angles of a triangle is 180^(@)

Prove that the sum of the three angles of a triangle is 180^(@).

Fill in the blanks with lt or gt (a) (Sum of any two sides of a triangle)….. (the third side). (b) (Difference of any two sides of a triangle)….(the third side). (c) (Sum of three altitudes of a triangle)….(sum of its three sides). (d) (Sum of any two sides of a triangle)…..(twice the median to the 3rd side). (e) (Perimeter of a triangle)....(sum of its three medians).

The point of concurrence of the altitudes of a triangle is called

The sum of the measures of three angles of a triangle is greater than 180^@

UPKAR PUBLICATION -PRACTICE SET-7-PART-III (QUANTITATIVE APTITUDE)

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