Question

UTUS
UU
5. Two smaller sides of a right angled triangle are 6cm and 7cm. What is the area of the triangle?
6. Find the area of a right triangle with base 5cm and hypotenuse 13 cm.
7. The area of a triangle is 120cm2. If its altitude is 24cm, find its base.

Give me solved one​

Answer 1

Answer:

5. 21 cm^2

6. 18 cm^2

7. 10 cm

Step-by-step explanation:

5. Area of triangle = 1/2(base * height)

Given is a right angled triangle. And we know the two smaller sides of a right angled triangle are base and altitude. So here we have

b= 6

h= 7

Area = 1/2(6*7)

= 21 cm^2

6. given base = 5

hypotenuse = 13

By Pythagoras theorem altitude=√(13^2-5^2)

= √ 169-25

=√144

= 12

So the area = 1/2(5*12)

=18 cm^2

7. given area = 120

altitude = 24

equation of area is 1/2(b*h)

i.e., 1/2(b*24) = 120

12b = 120

b = 10 cm

Happy learning