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प्रश्न
State the converse of Pythagoras theorem.
उत्तर
If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.
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संबंधित प्रश्न
If the sides of a triangle are 3 cm, 4 cm, and 6 cm long, determine whether the triangle is a right-angled triangle.
The sides of triangle is given below. Determine it is right triangle or not.
a = 8 cm, b = 10 cm and c = 6 cm
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In a ΔABC, AB = BC = CA = 2a and AD ⊥ BC. Prove that
(i) AD = a`sqrt3`
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In right-angled triangle ABC in which ∠C = 90°, if D is the mid-point of BC, prove that AB2 = 4AD2 − 3AC2.
In a right ∆ABC right-angled at C, if D is the mid-point of BC, prove that BC2 = 4(AD2 − AC2).
In a quadrilateral ABCD, ∠B = 90°, AD2 = AB2 + BC2 + CD2, prove that ∠ACD = 90°.
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(i) AB2 = BC x BD
(ii) AC2 = BC x DC
(iii) AD2 = BD x CD
(iv) `"AB"^2/"AC"^2="BD"/"DC"`
In an equilateral triangle with side a, prove that area = `sqrt3/4` 𝑎2
