1. Construct the following right- angled triangle ABC using a ruler and a pair of compasses $$ \mathrm{AB}=7 \mathrm{~cm} $$, angle $$ \mathrm{BAC}=90^{\circ}, \mathrm{AC}=6 \mathrm{~cm} $$ (2marks)

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To construct the right-angled triangle ABC with the given conditions, follow these steps:

### Step 1: Draw Line Segment AB
1. Use a ruler to draw a horizontal line segment $$ \mathrm{AB} $$ that measures $$ 7 \, 	ext{cm} $$. Label the endpoints as $$ A $$ and $$ B $$.

### Step 2: Construct Angle BAC
2. At point $$ A $$, use a protractor to measure a $$ 90^\circ $$ angle. Alternatively, you can use a compass to create a perpendicular line:
   - Place the compass point on $$ A $$ and draw an arc that intersects line $$ AB $$ at two points.
   - Without changing the compass width, place the compass point on one of the intersection points and draw an arc above line $$ AB $$.
   - Repeat this from the other intersection point to create two arcs that intersect above line $$ AB $$.
   - Draw a straight line from $$ A $$ through the intersection of the arcs. This line is $$ AC $$ and is perpendicular to $$ AB $$.

### Step 3: Measure and Mark Point C
3. Using the compass, measure $$ 6 \, 	ext{cm} $$ from point $$ A $$ along the line $$ AC $$ and mark this point as $$ C $$.

### Step 4: Complete the Triangle
4. Finally, draw line segment $$ BC $$ to complete triangle $$ ABC $$.

### Summary
- You have constructed triangle $$ ABC $$ with $$ \mathrm{AB} = 7 \, 	ext{cm} $$, $$ \angle BAC = 90^\circ $$, and $$ \mathrm{AC} = 6 \, 	ext{cm} $$.

This construction meets the requirements of the problem.
To construct triangle ABC: 1. Draw $$ \mathrm{AB} = 7 \, 	ext{cm} $$ horizontally. 2. At point $$ A $$, create a $$ 90^\circ $$ angle. 3. Measure $$ 6 \, 	ext{cm} $$ from $$ A $$ along the perpendicular line to mark $$ C $$. 4. Draw $$ BC $$ to complete the triangle.

Construct the following right- angled triangle ABC using a ruler and a pair of compasses
, angle
(2marks)

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Construct the following right- angled triangle ABC using a ruler and a pair of compasses , angle (2marks)