Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
1.5 cm, 2 cm, 2.5 cm
(1.5)2 = 2.25
(2)2 = 4
(2.5)2 = 6.25
Here,
2.25 + 4 = 6.25
(1.5)2 + (2)2 = (2.5)2
The square of the length of one side is the sum of the squares of the lengths of the remaining two sides. Hence, these are the sides of a right-angled triangle.
Right angle will be in front of the side of measure 2.5 cm.
APPEARS IN
संबंधित प्रश्न
The diagonals of a rhombus measure 16 cm and 30 cm. Find its perimeter.
Prove that the points A(0, −1), B(−2, 3), C(6, 7) and D(8, 3) are the vertices of a rectangle ABCD?
Identify, with reason, if the following is a Pythagorean triplet.
(3, 5, 4)
Identify, with reason, if the following is a Pythagorean triplet.
(11, 60, 61)
In ∆ABC, ∠BAC = 90°, seg BL and seg CM are medians of ∆ABC. Then prove that:
4(BL2 + CM2) = 5 BC2
In figure AB = BC and AD is perpendicular to CD.
Prove that: AC2 = 2BC. DC.
In ∆ ABC, AD ⊥ BC.
Prove that AC2 = AB2 +BC2 − 2BC x BD
Triangle XYZ is right-angled at vertex Z. Calculate the length of YZ, if XY = 13 cm and XZ = 12 cm.
From the given figure, in ∆ABQ, if AQ = 8 cm, then AB = ?
If two legs of a right triangle are equal to two legs of another right triangle, then the right triangles are congruent.
