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Chapter 8: Q2. (page 291)

Which equations are correct for the right triangle shown ?

a.r2=s2+t2b.s2=r2+t2c.s2+r2=t2d.s2=t2鈭�r2e.t=r+sf.t2=r+s2

Short Answer

Expert verified

The correct equation is,

t2=r2+s2

Step by step solution

01

Step 1. Given information.

We have given a figure as shown below.

02

Step 2. Use Pythagorean Theorem.

From Pythagorean Theorem we know that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.

03

Step 3. The given triangle is right triangle.

Therefore,

t2=r2+s2

It can also be written as,

s2=t2-r2

Therefore, the correct equation is option d.

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Most popular questions from this chapter

Simplify

52

Study the diagram. Then complete each statement.

  1. t is the geometric mean between ? and ?.
  2. u is the geometric mean between ? and ?.
  3. v is the geometric mean between ? and ?.

Refer to the figure at the right.

If LK=36 and MK=6, find JM.

State an equation you could use to find the value of x. Then find the value of x in simplest radical form.

Find the value of x from the given figure.
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