Advertisements
Advertisements
Question
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is ______.
Options
Obtuse angled triangle
Acute-angled triangle
Right-angled triangle
An Isosceles right triangle
Advertisements
Solution
Lengths of sides of a triangle are 3 cm, 4 cm and 5 cm. The triangle is right-angled triangle.
Explanation:
Lengths of the sides of a triangle are 3 cm, 4 cm and 5 cm.
Now, 32 + 42 = 9 + 16 = 25 = 52
i.e., Sum of squares of two sides is equal to the square of third side.
Therefore, the triangle is right angled triangle.
APPEARS IN
RELATED QUESTIONS
ABCD is a rhombus. Prove that AB2 + BC2 + CD2 + DA2= AC2 + BD2
In the given figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC2 = AB2 + BC2 − 2BC.BD.
Which of the following can be the sides of a right triangle?
1.5 cm, 2 cm, 2.5 cm
In the case of right-angled triangles, identify the right angles.
In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.
In ∆ ABC, AD ⊥ BC.
Prove that AC2 = AB2 +BC2 − 2BC x BD
The sides of the triangle are given below. Find out which one is the right-angled triangle?
1.5, 1.6, 1.7
To get from point A to point B you must avoid walking through a pond. You must walk 34 m south and 41 m east. To the nearest meter, how many meters would be saved if it were possible to make a way through the pond?
Prove that the area of the semicircle drawn on the hypotenuse of a right angled triangle is equal to the sum of the areas of the semicircles drawn on the other two sides of the triangle.
If two legs of a right triangle are equal to two legs of another right triangle, then the right triangles are congruent.
Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 metres × 80 metres. How much shorter is the route across the park than the route around its edges?
