Advertisements
Advertisements
Question
Fill in the blank to make the following statement true.
In a right triangle the hypotenuse is the .... side.
Solution
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
RELATED QUESTIONS
ABC and DBC are two isosceles triangles on the same base BC (see the given figure). Show that ∠ABD = ∠ACD.
In Figure 10.24, AB = AC and ∠ACD =105°, find ∠BAC.
Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.
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)?
Difference of any two sides of a triangle is equal to the third side.
If the angles A, B and C of ΔABC satisfy the relation B − A = C − B, then find the measure of ∠B.
If the bisectors of the acute angles of a right triangle meet at O, then the angle at Obetween the two bisectors is
In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______.
In ∆PQR, if ∠R > ∠Q, then ______.
Show that in a quadrilateral ABCD, AB + BC + CD + DA > AC + BD