Posted by **ahh** on Wednesday, November 8, 2006 at 7:10am.

16) AB = 3.2cm

BC = 8.4cm

The area of the triangle ABC is 10cm².

Calculate the perimeter and give the answer correct to 3 significant figures.

19) Bill said that the line y=6 cuts the curve x² + y² =25 at two points.

a) By eliminating y, show that Bill is incorrect.

b) By eliminating y, find the solutions to the simultaneous equations

x² + y² = 25

y = 2x - 2

26)

c) Factorise (p+q)² + 5(p+q)

e) Simplify 2t² * 3r³t4

30) It is always possible to draw a circle which passes through all four vertices of a rectangle. Explain why.

(26) (c) factor out the (p+q) term and you get (p+q)(p+q+5)

(d) factor out the t term. I assume the last 4 is supposed to be an exponent.

(30) Draw the intersecting diagonals of the rectangle. Use geometry axioms and theorems to prove that the distance from the intersection of the diagonals to the corners are equal for all 4 corners. Therefore a circle centered on the intersection passes through all corners.

16) AB = 3.2cm

BC = 8.4cm

The area of the triangle ABC is 10cm².

Calculate the perimeter and give the answer correct to 3 significant figures

1--Triangle ABC has a base of BC = 8.4, a left side of AB = 3.2 and an unknown left side of AC.

2--Draw altitude AD perpendicular to BC

3--SInce the area A = 10, A = 8.4h/2 = 4.2h making h == 2.38095.

4--With AB = 3.2 and h == 2.38095, BD = sqrt(3.2^2 - 2.38095^2) = 2.138

5--CD therefore equals 8.4 - 2.138 = 6.262.

6--Thus, AC = sqrt(2.38095^2 + 6.262^2) = 6.699.

7--The perimeter is therefore 8.4 + 3.2 + 6.699 = 18.299.

## Answer this Question

## Related Questions

- Math - In a triangle ABC, PQ is the midpoint of AB and AC. PQ = 2cm, BC =3cm. ...
- 9th grade - given that a(-1,8) ,b(2,4) and if the line y=4 is the axis of ...
- Math - In the figure below, the diagonal line divides the rectangle into halves ...
- Math help - Ormeau Park in Belfast has an area of about 25 cm2 on the same map. ...
- Math - There's a triangle the numbers on each sides are 22 25 and 11 What is it'...
- Math - Triangle ABC is similar to triangle PQR and their perimeter is 36cm and ...
- math - (a) A street guide for Belfast has a scale of 1:15 000. A walkway through...
- Math help - (a) A street guide for Belfast has a scale of 1:15 000. A walkway ...
- geometry - In triangle ABC, if line BC is one inch longer than line AB, line AC ...
- Geometry - Within an orthonormal system consider points A(1,4) B(5,1) C(4,8) (a)...