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Altitude

Can you think...

Question

Can you think of a triangle in which two altitudes of the triangle are two of its sides?

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Solution

Yes, the above given statement is true in case of a right-angled triangle where two altitudes of the triangle are two of its sides

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Similar questions

Q. A triangle in which two altitudes of the triangle are two of its side is a/an

Which is the triangle in which two of the altitudes are same as the sides?

Fill in the blanks with < or >.

(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).

Q. Fill in the blanks with < or >.
(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 side)
(d) (Sum of any two sides of a triangle) ...... (twice the median to the 3rd side)
(e) (Perimenter of a triangle) ...... (sum of its three medians)

Q. Fill in the blanks to make the following statements true.

(i) In a right triangle the hypotenuse is the ...... side.

(ii) The sum of three altitudes of a triangle is ....... than its perimeter.

(iii) The sum of any two sides of a triangle is ..... than the third side.

(iv) If two angles of a triangle are unequal, then the smaller angle has the ..... side opposite to it.

(v) Difference of any two sides of a triangle is ...... than the third side.

(vi) If two sides of a triangle are unequal, then the larger side has ...... angle opposite to it.

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