Question

The base of a right triangle is 8 cm and hypotenuse is 10 cm. Its area will be (A) 24 cm2 (B) 40 cm2 (C) 48 cm2 (D) 80 cm2 How ???

Answer 1

hiii!!!

here's ur answer...

we know the formula for finding the area of a triangle. that is 1/2×b×h

but there is not given the height, so first we will find the length of the height of this triangle.

given hypontuse is 10cm and base is 8cm.

by Pythagoras thereom:-

let 'a' be the height, 'b' be the base and 'c' be the hypontuse.

→ a² + b² = c²

→ a² + 8² = 10²

→ a² + 64 = 100

→ a² = 100 - 64

→ a² = 36

→ a = √36

→ a = 6cm

★VERIFICATION★

= 6² + 8²

= 36 + 64

= 100cm

hence verified

thus the height of the triangle is 6cm.

now,

area of the triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 4 × 6

= 24cm²

hence, the correct option is (A) 24cm²

hope this helps u..!

<<<<<<<<☺☺☺>>>>>>>>

Answer 2

Answer:

hiii!!!

here's ur answer...

we know the formula for finding the area of a triangle. that is 1/2×b×h

but there is not given the height, so first we will find the length of the height of this triangle.

given hypontuse is 10cm and base is 8cm.

by Pythagoras thereom:-

let 'a' be the height, 'b' be the base and 'c' be the hypontuse.

→ a² + b² = c²

→ a² + 8² = 10²

→ a² + 64 = 100

→ a² = 100 - 64

→ a² = 36

→ a = √36

→ a = 6cm

★VERIFICATION★

= 6² + 8²

= 36 + 64

= 100cm

hence verified

thus the height of the triangle is 6cm.

now,

area of the triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 4 × 6

= 24cm²

hence, the correct option is (A) 24cm²

hope this helps u..!

Step-by-step explanation: