Swampofacinejidn
Answered

IDNStudy.com, ang iyong platform para sa mga sagot ng eksperto. Sumali sa aming platform ng tanong at sagot upang makakuha ng eksaktong tugon sa lahat ng iyong mahahalagang tanong.

One leg of a right triangle is 9 cm shorter than the other leg. How long should the longer leg be to ensure that the hypotenuse is at least 17 cm? ​

Sagot :

Imsmertidn

Answer:

Here

Step-by-step explanation:

The longer leg of a right triangle is 7 cm longer than the shorter leg. The hypotenuse is 8 cm longer than the shorter leg. What is the perimeter of the triangle?

Let the shorter leg =x

So longer leg = x+7

Hypotenuse =x+8

Now, by pythagoras theorem

x^2+(x+7)^2=(x+8)^2

x^2 + x^2+14x+49=x^2+16x+64

x^2–2x–15=0

this is a quadratic equation

(x-5)(x+3)=0

x=5 & -3

-3 can't be a side.

so shorter side=5, longer side=12, hypotenuse=13.

Perimeter of triangle = 5+12+13=30.

Alternate method-

If you know the triplets (5,12,13) in which longer side is 7 more than shorter side and hypotenuse is 8 more than the shorter side.

So these are the sides of the triangle which satisfies the given condition.

Maraming salamat sa iyong pakikilahok. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Ang iyong kaalaman ay mahalaga sa ating komunidad. Bumalik ka sa IDNStudy.com para sa maasahang mga sagot sa iyong mga katanungan. Salamat sa iyong tiwala.