All categories

2 years ago

The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this

Mathematics

1 answer:

Shtirlitz [24]2 years ago

3 0

Answer:

SR = 22 cm

Step-by-step explanation:

area = bh/2

(21 cm)(h)/2 = 231 cm^2

21h = 462 cm

h = 22 cm

SR = 22 cm

You might be interested in

The hypotenuse of an isosceles right triangle is centimeters longer than either of its legs. Find the exact length of each side.

Varvara68 [4.7K]

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

$y = 11 + x$

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

$y^2 = x^2 + x^2$

$y^2 = 2x^2$

This gives:

$(11+x)^2 = 2x^2$

Open bracket

$121 + 22x + x^2= 2x^2$

Collect like terms

$2x^2 - x^2 -22x - 121 = 0$

$x^2 -22x - 121 = 0$

Using quadratic formula:

$x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}$

$x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}$

$x = \frac{-(-22)\±\sqrt{968}}{2*1}$

$x = \frac{22\±31.11}{2}$

Split

$x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\$

$x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}$

x can not be negative.

So:

$x = \frac{53.11}{2}$

$x = 26.56$

Recall that:

$y = 11 + x$

$y = 11 + 26.56$

$y = 37.56$

Hence, the dimensions are:

$Hypotenuse:37.56$

$Other\ Legs: 26.56$

6 0

2 years ago

Factor the following expression.

mel-nik [20]

Answer:

the factor of 12 is 1 2 3 4 6 12 so that

-3(n+4)

5 0

1 year ago

Fill in the blanks to solve this equation (ANSWER QUICK)

SVETLANKA909090 [29]

Answer:

Step-by-step explanation:

$5+\frac{1}{2} (14b-8)=-6$

$5+7b-4=-6$

$7b+1=-6$

$-1$ $-1$

$7b=-7$

$/7$ $/7$

$b=-1$

Answers in order:

7 + 7b - 4 = -6

7b + 1 = -6

7b = -7

b = -1

Hope this helps!

3 0

2 years ago

Describe possible dimensions of a pyramid with a volume of 30 cubic centimeters.

Contact [7]

Answer:

15*3*2

15*1*6

45*2*1

10*3*3

6*5*3

Step-by-step explanation:

Volume=Lenth *Width*Height divieded by 3

4 0

3 years ago

Read 2 more answers

Name the quadrilaterals that have four equal angles.

Alex73 [517]

B. square, rectangle

7 0

2 years ago

Read 2 more answers