Advertisements
Advertisements
प्रश्न
State Pythagoras theorem
उत्तर
The square of the hypotenuse is equal to the sum of the squares of the other two sides. Here, the hypotenuse is the longest side and it’s always opposite the right angle
APPEARS IN
संबंधित प्रश्न
Construct a triangle ABC with sides BC = 7 cm, ∠B = 45° and ∠A = 105°. Then construct a triangle whose sides are `3/4` times the corresponding sides of ∆ABC.
The sides of triangle is given below. Determine it is right triangle or not.
a = 7 cm, b = 24 cm and c = 25 cm
In an isosceles triangle ABC, AB = AC = 25 cm, BC = 14 cm. Calculate the altitude from A on BC.
ABCD is a square. F is the mid-point of AB. BE is one third of BC. If the area of ΔFBE = 108 cm2, find the length of AC.
In a ΔABC, AB = BC = CA = 2a and AD ⊥ BC. Prove that
(i) AD = a`sqrt3`
(ii) Area (ΔABC) = `sqrt3` a2
In an acute-angled triangle, express a median in terms of its sides.
In Figure, D is the mid-point of side BC and AE ⊥ BC. If BC = a, AC = b, AB = c, ED
= x, AD = p and AE = h, prove that:
(i) `b^2 = p^2 + ax + a^2/4`
(ii) `c^2 = p^2 - ax + a^2/4`
(iii) `b^2 + c^2 = 2p^2 + a^2/2`
In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).
Find the diagonal of a rectangle whose length is 16 cm and area is 192 sq.cm ?
From given figure, In ∆ABC, AB ⊥ BC, AB = BC, AC = `5sqrt(2)` , then what is the height of ∆ABC?