Question

The lengths of a right-angled triangle are (7 - x)cm (5x + 2) cm and (5x + 3)cm. Write down in
terms of x
(a) the perimeter.
(b) the area of the triangle
Form an equation in x and hence solve for x in order to find the perimeter and area of the triangle


please answer this question​

Answer 1

Step-by-step explanation:

Take the 5x+3 side length to be as hypotenuse. Use of Pythagorean theorem and then solving for x will give x%5E2-24x%2B44=0, and then x=2.

Perimeter will be %287-x%29%2B%285x%2B2%29%2B%285x%2B3%29

7%2B2%2B3-x%2B10x

highlight_green%289x%2B12%29

9%2A2%2B12

highlight%2830%2Acm%29

The side lengths are: 5, 12, 13

AREA----------------------

The two legs are 5 and 12 cm length.

%281%2F2%295%2A12

highlight%2830%29cm%5E2

Answer 2

A=11x+12
B=5x^2-37x+14