Question

The height of a triangle is 7cm less than its base if the hypotenuse is 13cm form the quadratic equation to find the base of the triangle.
Dont answer !!
itz reported
๖ۣۜ₳ngяy​

Answer 1

Given:-

The height of the triangle is 7cm less than its base.

The Hypotenuse = 13cm

To Find:-

The quadratic equation to find the base of the triangle

Solution:-

Let the base of the triangle be x

As, the height is 7cm less than the base.

Height of the triangle = (x - 7)

Hypotenuse = 13cm

By applying Pythagoras Theorem:-

$\sf Base^2 + Height^2 = Hypotenuse^2Base$

$\sf \implies x^2 + (x - 7)^2 = 13^2</p><p>$

$\sf \implies x^2 + (x)^2 -2(x)(7) + (7)^2 = 13^2$

$\sf \implies x^2 + x^2 - 14x + 49 = 169$

$\sf \implies 2x^2 - 14x + 49 - 169$

$\sf \implies 2x^2 - 14x - 120$

$\sf \implies 2(x^2 - 7x - 60)$

$\sf \implies x^2 - 7x - 60 = 0$

Answer 2

Answer:

is this sum 8th grade triangle stuff?

Explanation: