# IGCSE Mathematics Paper-1: Specimen Questions with Answers 39 - 41 of 324

## Question 39

### Explanation

Here, is given, so we can get only the value 1 when there is exponent 0 on any number.

So, here so

## Question 40

### Write in Short

Short Answer▾In the right-angled triangle ABC, BC = 4 cm and angle . Calculate the length of AB and AC.

### Explanation

Here, triangle ABC is right angled triangle,

Angle and BC = 4 cm is given,

So,

Now,

## Question 41

### Describe in Detail

Essay▾The diagram shows two triangles of side 10 cm and height 9 cm and three congruent rectangles with two sides of 12 cm.

(a) Calculate

(i) The area of one rectangular face,

(ii) The area of the whole shape.

(b) What is the shape known as? This shape is the net of a solid.

### Explanation

Here,

(a) (i) The area of rectangle: , where, w = width and l = length.

So, here, width w = 10 cm and length l = 12 cm

So, area of one rectangular face =

(ii) The area of whole shape =

So, area of triangle = where, h = height and b = base.

So, here, height h = 9 cm and base will be the width of rectangle base b = 10 cm

So, area of one triangular face =

Thus, area of whole shape =

(b) The shape is the net of a solid. So, it is called as **Triangular Prism.**

- If there are equilateral triangles bases and square sides then the prism is called as
**Uniform Triangular Prism.**