In a right triangle, let the base be 'x' and height of a triangle is 3 units less than the base. The hypotenuse is 4 units . Which of the following is correct representation of Pythagoras theorem?

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A

Let the base be x
Height = (x-3)
Pythagoras theorem is $b a s e^{2} + h e i g h t^{2} = (h y p o t e n u s e)^{2}$
$x^{2} + (x - 3)^{2} = 4^{2}$
$x^{2} + x^{2} + 9 - 6 x = 16$

Suggest Corrections

Similar questions

In a right triangle, let the base be x, height is y and hypotenuse be z. Which of the following is correct representation of Pythagoras theorem?

a

b

\frac{a b}{4}

The height of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm form the quadratic equation to find the base of the triangle.

89, 39

80

Join BYJU'S Learning Program