Question

Construct a right triangle whose base is 4 cm and sum of its hypotenuse and other side is 8 cm

Answer 1

hope it may help you

Answer 2

ΔABC is the required triangle

Step-by-step explanation:

Given: In △ABC  BC = 8 cm, $\angle B= 90$° and AB + AC = 16 cm.

The construction steps are:  

1. BC = 8 cm is the line segment drawn initially

2. With B as the center, draw $\angle CBX$ = 90°.

3. BE = 16 cm is been cut off from BX.

4. CE is joined.

5. With A as the center, the perpendicular bisector of EC meeting BE at A is drawn.

6. AC is joined.

ΔABC is the required triangle