Question
What is the length of the hypotenuse in an isosceles
right-angled triangle if one of its equal sides measures 5√3 cm?Solution
ATQ, 
ATQ, Since ΔABC is an isosceles right-angled triangle, then AC = AB ⇒ AC = AB = 5√3 cm (Given) Now, using the Pythagoras theorem, we get BC² = AC² + AB² ----(1) ⇒ BC² = AB² + AB² [Using (1)] ⇒ BC² = 2AB² ⇒ BC² = 2(5√3)² ⇒ BC² = 2(25 × 3) ⇒ BC² = 150 ⇒ BC = √150 = 5√6 cm Hence, the length of the hypotenuse is 5√6 cm.
12 of 8 - 9 ÷ 3 × 16 - 17 + 6 of 4 - 15
What will be come in place of (?) in the given number series.
3, 6, 5, 10, 7, ?, 11- What does a landscape orientation refer to?
- Which type of memory requires frequent refreshing to retain data?
A metal sphere of radius 7.35 cm is melted and cast into a cylinder of height 12 cm. Find the curved surface area of the cylinder...
How many chairs must be sold for Rs. 25,600 to achieve a 25% profit, given that 50 chairs were originally purchased for the same amount?
A principal of ₹8000 is invested at a compound interest rate of 10% per annum. What will be the amount after 2 years?
Below given are 2 wrong number series.
Series I: 19, 30, 6, 45, – 11, 67
Series II: 141, 148, 223, 398, 723, 1248
I. The absolute...
