If the sum of the lengths of the hypotenuse and a side of a right angled triangle is given, show that the area of the triangle is maximum when the angle between them is π/3
1 Answers
Talk Doctor Online in Bissoy App
Prove that (2, -2), (-2, 1) and (5, 2) are the vertices of a right angled triangle.
Let A (2,-2) B (-2,1) and c (5,2) now , use distance formula , AB = {(2+2)^2 + (-2-1)^2}^1/2= 5 BC ={(5+2)^2 +(2-1)^2}^1/2 = (50)^1/2 CA = {(5-2)^2 +(2 + 2)^2 }^1/2 = 5 now , AB^2...
1 Answers 1 views
Choose the correct one. In a right-angled triangle, the angles other than the right angle are (a) obtuse (b) right (c) acute (d) straight
Correct answer is (c) acute
1 Answers 1 views
Choose the correct one. Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is (a) Obtuse angled triangle (b) Acute-angled triangle
Correct answer is (c) Right-angled triangle
1 Answers 1 views
Choose the correct one.In a right-angled triangle ABC, if angle B = 90°, BC = 3 cm and AC = 5 cm, then the length of side AB is
Correct answer is (b) 4 cm
1 Answers 1 views
Fill in the blanks to make the statements true. The longest side of a right angled triangle is called its ______.
The longest side of a right angled triangle is called its hypotenuse .
1 Answers 1 views
State whether the statements are True or False. If two angles and a side of a triangle are equal to two angles and a side of another triangle,
If two angles and a side of a triangle are equal to two angles and a side of another triangle, then the triangles are congruent. False
1 Answers 1 views
If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent.
If the hypotenuse of one right triangle is equal to the hypotenuse of another right triangle, then the triangles are congruent. False
1 Answers 1 views
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle,
If hypotenuse and an acute angle of one right triangle are equal to the hypotenuse and an acute angle of another right triangle, then the triangles are congruent. True
1 Answers 1 views
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side.
Let the length of shortest side be x cm. According to the given information, Longest side = 2 x Shortest side = 2x cm And third side = 2 + Shortest side =...
1 Answers 1 views
In a triangle, the perpendicular from the vertex to the base bisects the base. The triangle is (a) right-angled (b) isosceles
(b) Isosceles In an isosceles triangle, the perpendicular from the vertex to the base bisects the base.
1 Answers 1 views