Question

Sum of the perpendicular to side of a right triangle is 26 cm and its area is 84cm^2

What is the product of the perpendicular sides

Find the length of the perpendicular side Find the length of hypotonus

Answer 1

Step-by-step explanation:

area=84 cm sq

sum of perpendicular side=26 cm

Let 1st side be X cm.

2nd side=26-X cm

ATQ,Area =1/2×1st side×2nd side

or 84=1/2×X×26-X

168=26X-X^2

X^2-26X+168=0

Now go for split the middle term, you will get the value of X as

X=12 and 14

So 1st side=12 cm and 2nd side=14 cm

Product of side containing right angle=12×14=168 cm sq

hypotenious=✓12^2+14^2=✓144+196=✓340 cn