Advertisements
Advertisements
प्रश्न
Fill in the blank to make the following statement true.
In a right triangle the hypotenuse is the .... side.
Advertisements
उत्तर
In a right triangle the hypotenuse is the largest side
Reason: Since a triangle can have only one right angle, other two angles must be
less than 90°
⇒ The right angle is the largest angle
⇒ Hypotenuse is the largest side.
APPEARS IN
संबंधित प्रश्न
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that
- ΔABE ≅ ΔACF
- AB = AC, i.e., ABC is an isosceles triangle.

In a ΔABC, if ∠A=l20° and AB = AC. Find ∠B and ∠C.
In figure, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD
BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE.
Angles A, B, C of a triangle ABC are equal to each other. Prove that ΔABC is equilateral.
ABC is a triangle in which ∠B = 2 ∠C. D is a point on BC such that AD bisects ∠BAC and AB = CD.
Prove that ∠BAC = 72°.
Which of the following statements are true (T) and which are false (F):
The bisectors of two equal angles of a triangle are equal
In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
Prove that the perimeter of a triangle is greater than the sum of its altitudes.
Which of the following statements are true (T) and which are false (F)?
Sum of any two sides of a triangle is greater than twice the median drawn to the third side.
Which of the following statements are true (T) and which are false (F)?
Difference of any two sides of a triangle is equal to the third side.
Which of the following statements are true (T) and which are false (F)?
If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it.
Write the sum of the angles of an obtuse triangle.
In the given figure, the value of x is ______.

In the given figure, if BP || CQ and AC = BC, then the measure of x is

Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.
Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.
CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.

Bisectors of the angles B and C of an isosceles triangle ABC with AB = AC intersect each other at O. Show that external angle adjacent to ∠ABC is equal to ∠BOC
Find all the angles of an equilateral triangle.
